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Complete intersection points on affine varieties and zero cycles

12.12.2013 | 17:15

Prof. Vasudevan Srinivas (Mumbai, India / Berlin)

Abstract: Let X = Spec A be an irreducible affine variety of dimension d over an algebraically closed field k, so that the coordinate ring A of algebraic functions on X is a finitely generated k-algebra which is an integral domain of Krull dimension d. A point x of X is called a complete intersection point if the corresponding maximal ideal Mx of A is generated by d elements
f1, ...,fd. Geometrically, this means that x is a non-singular point of X, the hypersurfaces Hi in X defined by fi = 0 intersect only in the point x, and this intersection is transverse.

We are interested in characterizing affine varieties such that all non-singular points are complete intersections. This problem turns out to have different flavours, depending on the ground field, and is related to interesting conjectures in the theory of algebraic cycles, and thereby to algebraic K-theory.




ab  16:45 Uhr,

Arnimallee 3,  Raum 006


Koordinator:  Prof. Dr. Alexander Schmitt


Zeit & Ort

12.12.2013 | 17:15

Hörsaal 1, Arnimallee 3