Freie Universität Berlin

Mathematisches Institut



Hélène Esnault, List of publications



Articles:

  • 1.Sur l'identification de singularités apparaissant dans des groupes algébriques complexes. Publ. Math. de l'Université Paris VII, 7 (1979), 31-59 (résumé of the "Thèse de 3ième cycle").
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  • 2.Classification des variétés de dimension 3 et plus. Séminaire Bourbaki, exp 568, Fév 81, Springer Lect. Notes in Math. 901, 111-131, (survey).
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  • 3.Fibre de Milnor d'un cône sur une courbe plane singulière. Inventiones math. 68 (1982), 477-496.
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  • 4.(with E. Viehweg) Revêtement cycliques. Algebraic Threefolds, Proc. Varenna 1981. Springer Lect. Notes in Math. 947, 241 - 250
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  • 5.(with E. Viehweg) Sur une minoration du degré d'hypersurfaces s'annulant en certains points. Math. Ann. 263 (1983) 75 - 86
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  • 6.(with E. Viehweg) Dyson's lemma for polynomials in several variables (and the theorem of Roth). Inventiones math. 78 (1984) 445 - 490
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  • 7.(with E. Viehweg) Two dimensional quotient singularities deform to quotient singularities. Math. Ann 271 (1985) 439 - 449
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  • 8.Reflexive modules on quotient surface singularities, Journ. reine angew. Math 362 (1985), 63-71.
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  • 9.(with E. Viehweg) Revêtements cycliques II, Proc. Algebraic Geometry, La Rabida 1984, Hermann, Travaux en cours 23 (1987) 81 - 96
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  • 10.(with H. Knörrer) Reflexive modules over rational double points, Math. Ann. 272 (1985), 545-548
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  • 11.(with E. Viehweg) Logarithmic De Rham complexes and vanishing theorems. Inventiones math. 86 (1986) 161 - 194
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  • 12.Characteristic classes of flat bundles, Topology 27 (1988), 323-352.
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  • 13.(with E. Viehweg) Deligne-Beilinson cohomology. in: Beilinson's Conjectures on Special Values of L-Functions ( Ed.: Rapoport, Schappacher, Schneider ). Perspectives in Math. 4, Academic Press (1988) 43 - 91
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  • 14.(with E. Viehweg) A remark on a non-vanishing theorem of P. Deligne and G.T. Mostow. Journ. reine angew. Math. 381 (1987) 211 - 213
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  • 15.(with E. Viehweg) Vanishing and non-vanishing theorems. Proc. Hodge Theory, Luminy 1987 (Ed.: Barlet, Elzein, Esnault, Verdier, Viehweg). Astérisque 179 - 180 (1989) 97 - 112
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  • 16.On the Loday symbol in the Deligne-Beilinson cohomology, K-Theory 3 (1989), 1-28
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  • 17.A note on the cycle map, Journal reine angew. Math. 411 (1990), 51-65.
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  • 18.(with E. Viehweg) Effective bounds for semipositive sheaves and the height of points on curves over complexe function fields. Compositio math. 76 (1990) 69 - 85
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  • 19.A regulator map on singular varieties, Math. Ann. 286 (1990), 169-191
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  • 20.Une remarque sur la cohomologie du faisceau de Zariski de la K-théorie de Milnor sur une variété lisse complexe. Math. Zeitschrift 205 (1990), 373-378
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  • 21.Some examples of computation of a regulator map on singular varieties. Contemporary Mathematics 131 (1992) (Part 3), 399-417, Proc. of the "A.I. Maltsev Conf." on Algebra and Analysis, Novosibirsk 1989.
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  • 22.Hodge type of subvarieties of Pn of small degrees. Math. Ann. 288 (1990), 549-551
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  • 23.(with E. Viehweg) Ample sheaves on moduli schemes. "Proceedings of the Conference in Algebraic and Analytic Geometry", Tokyo, 1990, ICM-90 Satellite Conference Proceedings, Springer , 53-81
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  • 24.(with J. Seade and E. Viehweg) Characteristic divisors on complex manifolds. Journ. reine angew. Math. 424 (1992) 17-30
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  • 25.(with V. Srinivas) Chern classes of vector bundles with holomorphic connections on a complete smooth complex variety. Journal of Diff. Geometry, 36 (1992), 257-267.
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  • 26.(with V. Schechtman and E.Viehweg) Cohomology of local systems on the complement of hyperplanes. Invent. math. 109 (1992) 557-561
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    Erratum: Invent. math. 112 (1993) 447
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  • 27.(with M.V. Nori and V.Srinivas) Hodge type of projective varieties of low degree. Math. Ann. 293 (1992), 1-6
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  • 28.(with E. Viehweg) Lectures on Vanishing Theorems. Book, DMV-Seminar Band 20, Birkhäuser, 164 pages, see below under books.

  • 29.(with B. Kahn and E. Viehweg) Coverings with odd ramification and Stiefel-Withney classes. Journ. f. reine und ang. Math. 441 (1993) 145-188
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  • 30.(with E. Viehweg) Higher Kodaira-Spencer classes. Math. Ann. 299 (1994) 491-527
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  • 31.Characteristic classes of flat bundles, II, K-Theory 6 (1992), 45-56
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  • 32.(with M. Levine) Surjectivity of cycle maps, Journées de Géométrie Algébrique d'Orsay, Juillet 1992. Astérisque 218 (1993), 203-226.
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  • 33.(with V. Srinivas and E. Viehweg) Decomposability of Chow groups implies decomposability of cohomology. ``Journées de Géométrie Algébrique d'Orsay, Juillet 1992''. Astérisque 218 (1993) 227 - 242
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  • 34.(with K. Paranjape) Remarks on absolute de Rham and absolute Hodge cycles. C.R. Acad. Sc. Paris, t. 319 Série I (1994), 67-72.
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  • 35.Coniveau of classes of flat bundles trivialized on a smooth covering of a complex manifold. K-Theory 8 (1994), 483-488.
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  • 36.(with K. Corlette) Classes of local systems of Q hermitian vector spaces, Preprint 1994, appendix to "Riemann-Roch for flat bundles" by J.-M. Bismut, Chinese Annals of Mathematics 26B:1 (2005), 15-44.
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  • 37.(with S. Bloch) The coniveau filtration and non- divisibility for algebraic cycles. Math. Ann. 304 (1996), 303-314.
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  • 38.(with M. Levine and E. Viehweg) Chow groups on projective varieties of very small degree. Duke Math. J. 87 (1997), 29-58
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  • 39.(with S. Bloch) Algebraic Chern-Simons theory, Am. J. of Mathematics 119 (1997), 903-952.
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  • 40.Recent developments on characteristic classes of flat bundles on complex algebraic manifolds. Jber. d. Dt. Math.-Verein 98 (1996), 182-191, (survey).
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  • 41.(with B. Kahn, M. Levine and E. Viehweg) The Arason invariant and mod 2 algebraic cycles. Journal of the American Mathematical Society 11 (1998), 73-118
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  • 42.Algebraic Differential Characters, in Regulators in Analysis, Geometry and Number Theory. Progress in Mathematics, Birkhäuser Verlag, 171 (2000), 89-117.
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  • 43.A remark on an algebraic Riemann-Roch formula for flat bundles. K-Theory 13 (1998), 61-68.
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  • 44.(with V. Srinivas and E. Viehweg) The universal regular quotient of the Chow group of 0-cycles on a singular projective variety. Inventiones math. 135 (1999) 595-664
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  • 45.(with E. Viehweg) Germs of de Rham cohomology classes which vanish at the generic point. CRAS, Paris 326 (1998), 857-862
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  • 46.Algebraic theory of characteristic classes of bundles with connection, in Algebraic K-theory. Proceedings of Symposia in pure Mathematics 67 (1999), 13-25.
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  • 47.(with S. Bloch) A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory. Annals of Mathematics 151 (2000), 1-46.
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  • 48.(with E. Viehweg) Semistable bundles on curves and irreducible representations of the fundamental group. Contemporary Mathematics 241 (1999) 129 - 138
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  • 49.(with S. Bloch) Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles, in Arithmetic and Geometry of Algebraic Cycles. Nato Science Series 548 (2000), 3-29.
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  • 50.(with S. Bloch) Gauß-Manin determinants of rank 1 irregular connection on curves. Math. Ann. 321 (2001), 15-87, with an addendum: the letter of P. Deligne to J.-P. Serre (Feb. 74) on ε-factors, 65-87.
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  • 51.(with M. Levine) The Steinberg curve. Am. J. of Mathematics 122 (2000), 783-804.
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  • 52.(with I.H. Tsai) Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman. Comm. Math. Phys. 211 (2000), 359-363.
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  • 53.(with S. Bloch) Relatives Algebraic Characters, in Motives, Polylogarithms and Hodge Theory. International Press Lecture Series, vol. 3, part I (2002), 47-75.
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  • 54. (with S. Bloch) Gauß-Manin determinant connections and periods for irregular connections. Geom. funct. anal. Special Volume-GAFA 2000, 1-31, Birkhäuser Verlag.
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  • 55.(with S. Bloch) A formula for Gauß-Manin determinants, preprint 2000, 37 pages.
    see below under Unpublished Manuscripts.

  • 56.(with S. Bloch) Homology for irregular connections. Journal de Théorie des Nombres de Bordeaux 16 (2004) no 2, 357-371.
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  • 57.(with C. Hertling) Semistable bundles and reducible representations of the fundamental group. International Journal of Mathematics 12, no7 (2001), 847-855.
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  • 58.(with A. Beilinson and S. Bloch): ε-factors for Gauß-Manin determinants. Moscow Mathematical Journal, 2 no 3 (2002), 1-56.
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  • 59.(with S. Bloch): An additive version of higher Chow groups. Annales Scientifiques de l'École Normale Supérieure, 4-o série, 36 (2003), 463-477.
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  • 60.(with E. Viehweg) Chern classes of Gauß-Manin bundles of weight 1 vanish. K-theory 26 (2002) 287-305
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  • 61.Characteristic classes of flat bundles and determinant of the Gauß-Manin connection. Proceedings of the International Congress of Mathematicians, Beijing 2002, Higher Education Press, 471-483.
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  • 62.Varieties over a finite field with trivial Chow group of 0-cycles have a rational point. Invent. math. 151 (2003), 187-191.
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  • 63.(with S. Bloch) The additive dilogarithm. Documenta Math. Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 131-155.
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  • 64.(with D. Wan) Hodge type of the exotic cohomology of complete intersections. C. R. Acad. Sci. Paris, Ser. I 336 (2003), 153-157.
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  • 65.(with S. Bloch) Congruences for the number of rational points, Hodge type and motivic conjectures for Fano varieties. Cubo A Mathematical Journal, 05, no 03 (2003), 251-262.
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  • 66.(with S. Bloch and M. Levine) Decomposition of the diagonal and eigenvalues of Frobenius for Fano hypersurfaces. Am. J. of Mathematics, 127 no1 (2005), 193-207.
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  • 67.Eigenvalues of Frobenius acting on the l-adic cohomology of complete intersections of low degree. C. R. Acad. Sci. Paris, Ser. I 337 (2003), 317-320.
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  • 68.(with N. Katz): Cohomological divisibility and point count divisibility, Compositio math. 141 01 (2005), 93-100.
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  • 69.(with A. Beilinson, S. Bloch, P. Deligne): Periods for irregular connections on curves, preprint 2003, 59 pages.
    see below under Unpublished Manuscripts.

  • 70.Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields. International Mathematics Research Notices 19 (2004), 929-935.
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  • 71.(with S. Bloch): Local Fourier transforms and rigidity for D-modules. Asian Journal of Mathematics, special issue dedicated to Armand Borel, Vol. 8, No 4 (2004), 587-606.
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  • 71b. Erratum to Thm.4.10 in: Local Fourier transforms and rigidity for D-modules. Asian Journal of Mathematics, special issue dedicated to Armand Borel, Vol. 8, No 4 (2004), 587-606.
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  • 72.Appendix to "Congruences for rational points on varieties over finite fields" by N. Fakhruddin and C. S. Rajan. Math. Ann. 333 (2005), 811-814.
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  • 73.Deligne's integrality theorem in unequal characteristic and rational points over finite fields. Annals of Mathematics 164 (2006), 715-730.
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  • 74.(with P. Deligne) Appendix to "Deligne's integrality theorem in unequal characteristic and rational points over finite fields". Annals of Mathematics 164 (2006), 726-730.
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  • 75.Variation of Artin's vanishing theorem. Advances of Mathematics 198 (2005) issue 2, 435-438, special issue dedicated to M. Artin.
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  • 76.(with S. Bloch) Künneth projectors and correspondences for open varieties, in Algebraic Cycles and Motives, vol. 2, 54-72. London Math. Soc. Lecture Note Ser. 344 (2007).
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  • 77.A remark on higher congruences for the number of rational points of varieties defined over a finite field, preprint 2005, 6 pages.
    see below under Unpublished Manuscripts

  • 78.(with Phùng Hô Hai) The Gauß-Manin connection and Tannaka duality. International Mathematics Research Notices 93878 (2006), 1-35.
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  • 79.(with S. Bloch and D. Kreimer) On motives associated to graph polynomials. Comm. Math. Phys. 267 no1 (2006), 181-225.
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  • 80.(with P. Berthelot and S. Bloch) On Witt vector cohomology for singular varieties. Compositio math. 143 (2007), 363-392.
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  • 81.(with M. Blickle and K. Rülling) Characteristic 0 and p analogies, and some motivic cohomology, in Global Aspects of Complex Geometry. ed. Catanese, Esnault, Huckelberry, Hulek, Peternell, Springer Verlag (2006), 59-82.
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  • 82.(with M. Blickle) Rational singularities and rational points. Pure Appl. Math. Q. 4 (2008), no. 3, part 2, 729-741.
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  • 83.(with Phùng Hô Hai and X. Sun) On Nori's Fundamental Group Scheme. Progress in Mathematics, Vol. 265 (2007), 377-398.
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  • 84.Partial connection for p-torsion line bundles in characteristic p>0, Inspired by S. S. Chern, 173-178, Nankai Tracts Math. 11, World Sci. Publ. Hackensack, NJ (2006).
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  • 85.(with Phùng Hô Hai) The fundamental groupoid scheme and applications. Annales de l'Institut Fourier 58 (2008), 2381-2412.
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  • 86.(with Phùng Hô Hai) Packets in Grothendieck's Section Conjecture. Advances in Mathematics 218 (2008), 395-416.
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  • 87.Coniveau over p-adic fields and points over finite fields. C. R. Acad. Sci. Paris, Ser. I 345 (2007) 73-76.
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  • 88.(with C. Xu) Congruence for rational points over finite fields and coniveau over local fields. Transactions of the AMS 361 (2009), 2679-2688.
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  • 89.(with M. Levine) Tate motives and fundamental group, preprint 2007, 65 pages.
    see below under Unpublished Manuscripts

  • 90.(with A. Ogus) Hodge cohomology of invertible sheaves, in Motives and Algebraic Cycles, A Celebration in Honour of Spencer J. Bloch. American Mathematical Society, Fields Institute 56 (2009), 83-91.
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  • 91.Algebraic differential characters of flat connections with nilpotent residues, in Algebraic Topology. Abel Prisen 4 (2007), Springer Verlag, 83-94.
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  • 92.(with O. Wittenberg) Remarks on Cycle Classes of sections of the arithmetic fundamental group. Moscow Mathematical Journal 9, (2009), 451-467,
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  • 93.(with O. Wittenberg) On abelian birational sections. Journal of the American Mathematical Society 23, (2010), 713-724,
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  • 94.(with Phùng Hô Hai) Two small remarks on Nori fundamental group scheme. Advanced Studies in Pure Mathematics 60 (2010), 237-243.
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  • 95.(with V. Mehta) Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles. Inventiones math. 181 (2010), 449-465.
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  • 95b. (Little) Erratum to: Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles. Inventiones math. 181 (2010), 449-465.
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  • 96.(with E. Viehweg) On a rationality question in the Grothendieck ring of varieties. Acta Mathematica Vietnamica 35 (2010), 31-41.
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  • 97.(with V. Mehta) Weak Density of the Fundamental Group Scheme. Int. Math. Res. Not. IMRN 13 (2011), 3071-3081.
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  • 98.(with E. Viehweg) Surface singularities dominated by smooth varieties. Journ. reine angew. Mathematik 649 (2010), 1-9.
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  • 99.(with A. Hogadi) On the algebraic fundamental group of smooth varieties in characteristic p>0, Transaction of the AMS 364 (2012), 2429-2442.
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  • 100.(with P. Berthelot and K. Ruelling) Rational points over finite fields for regular models of algebraic varieties of Hodge type greater or equal to 1. Annals of Mathematics 176 (2012), 1-96.
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  • 101.(with J. Nicaise) Finite group actions, rational fixed points and weak Néron models, Pure Applied Math. Q. 7:4 in the Special issue in memory of Eckart Viehweg (2011), 1209--1240.
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  • 102.(with V. Srinivas) Algebraic versus topological entropy for surfaces over finite fields. Osaka J. of Math. 50 (2013), no 3, 827--846.
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  • 103.(with M. Kerz) Notes on Deligne's letter to Drinfeld dated March 5, 2007 preprint 2011, 19 pages.
    See below under Unpublished Manuscripts

  • 104.(with A. Langer) On a positive equicharacteristic variant of the p-curvature conjecture. Documenta Mathematica 18 (2013), 23--50.
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  • 105.(with X. Sun) Stratified bundles and étale fundamental group. Ann. Sc. Norm. Pisa Cl. Sci. (5) XIII (2014), 1--18.
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  • 106.(with S. Bloch snd M. Kerz) p-adic deformation of algebraic cycle classes. Inventiones math. 195 (2014), 673--722.
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  • 107. On flat bundles in characteristic 0 and p>0. European Congress of Mathematics, Krakow, 2--7 July, 2012, European Mathematical Society, 301--313.
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  • 108. (with M. Levine and O. Wittenberg) Index of varieties over Henselian fields and Euler characteristic of coherent sheaves. J. Algebraic Geometry, 24 (2015), 693--718.
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  • 109. (with M. Kerz) A finiteness theorem for Galois representations of function fields over finite fields (after Deligne). Acta Mathematica Vietnamica 37 4 (2012), 531--562.
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  • 109b. Errata: (with M. Kerz) A finiteness theorem for Galois representations of function fields over finite fields (after Deligne).
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  • 110. (with C. Sabbah and J.-D. Yu) E1 degeneration of the irregular Hodge filtration, with an appendix by Morihiko Saito. preprint 2013, 55 pages.
    Appears in Journal reine und angewandte Mathematik.
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  • 111. (with O. Wittenberg) On the cycle map for zero-cycles over local fields, with an appendix by Spencer Bloch.
    Annales Scientifiques de l'École Normale Supérieure, 49 2 (2016), 481--518
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  • 112. (with S. Bloch and M. Kerz) Deformations of algebraic cycle classes in characteristic 0. Algebraic Geometry 3 (2014), 290--310.
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  • 113. (with V. Srinivas) Simply connected varieties in characteristic p>0 , with an appendix by Jean-Benoît Bost.
    Compositio math. 152 (2016), 255--287.
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  • 114. (with K. Oguiso) Non-liftability of automorphism groups of a K3 surface in positive characteristic. Math. Ann. 363 (2015), 1187--1206.
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  • 115. (with K. Oguiso and X. Yu) Automorphisms of elliptic K3 surfaces and Salem numbers of maximal degree. Algebraic Geometry, to appear, preprint 2014, 12 pages.
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  • 118. (with L. Kindler) Lefschetz theorems for tamely ramified coverings. Proc. of the AMS 144 (2016), 5071--5080.
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  • 118b. (Little) Erratum to: Lefschetz theorems for tamely ramified coverings. Proc. of the AMS 144 (2016), 5071--5080.
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  • 116. (with A. Shiho) Convergent isocrystals on simply connected varieties, preprint 2015, 30 pages.
    See below under Preprints.

  • 117. (with M. Kerz and O. Wittenberg) A restriction isomorphism for cycles of relative dimension zero. Cambridge Journal of Mathematics, 4 2 (2016), 163--196.
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  • 119. (with A. Shiho) Chern classes of crystals, preprint 2015, 22 pages.
    See below under Preprints.

  • 120. Some fundamental groups in arithmetic geometry, preprint 2015, 9 pages, appears in the Clay Proceedings of the Institute for Algebraic Geometry, Utah 2015.
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  • 121. A remark on Deligne's finiteness theorem. Int. Math. Res. Not., 00 (2016), 1--9.
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  • 122. Survey on some aspects of Lefschetz theorems in algebraic geometry, preprint 2016, 13 pages, appears in Revista Matemática Complutense.
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  • 123. (with T. Abe) A Lefschetz theorem for overconvergent isocrystals with Frobenius structure, preprint 2016, 18 pages.
    See below under Preprints.

  • 124. (with M. Kisin) D-modules and finite monodromy. Selecta Mathematica, to appear in the volume dedicated to Alexander Beilinson, preprint 2016, 9 pages.
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  • 125. (with M. Harris) Chern classes of automorphic vector bundles, preprint 2017, 18 pages.
    See below under Preprints.


  • Books:

  • (with E.Viehweg) Lectures on Vanishing Theorems, Lecture Notes, Birkhäuser, DMV Seminar 20 (1992) 164 pages.
    (LaTeX-source)     ps     ps.gz     pdf


  • Preprints:

  • 116. (with A. Shiho) Convergent isocrystals on simply connected varieties, preprint 2015, 30 pages.
    pdf

  • 119. (with A. Shiho) Chern classes of crystals, preprint 2015, 22 pages.
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  • 123. (with T. Abe) A Lefschetz theorem for overconvergent isocrystals with Frobenius structure, preprint 2016, 18 pages.
    pdf

  • 125. (with M. Harris) Chern classes of automorphic vector bundles, preprint 2017, 18 pages.
    pdf


  • Unpublished Manuscripts:

  • 55.(with S. Bloch) A formula for Gauß-Manin determinants, preprint 2000, 37 pages.
    pdf

  • 69.(with A. Beilinson, S. Bloch, P. Deligne): Periods for irregular connections on curves, preprint 2003, 59 pages.
    pdf

  • 77.A remark on higher congruences for the number of rational points of varieties defined over a finite field, preprint 2005, 6 pages.
    pdf

  • 89.(with M. Levine) Tate motives and fundamental group, preprint 2007, 65 pages.
    pdf

  • 103.(with M. Kerz) Notes on Deligne's letter to Drinfeld dated March 5, 2007, preprint 2011, 19 pages.
    pdf

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