• FU-Students should register via Campus Management.
• Non-FU-students should register via MyCampus/Whiteboard.

Winter Term 2025/2026

Lecturer: Prof. Dr. Holger Reich

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Time and place:

• Lecture: Mondays, 12am--2pm, SR 009, Arnimallee 6.
• Exercise: Wednesdays, 10am--12am, SR 009, Arnimallee 6.

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Prerequisites: Commutative algebra

Assessment

To receive credits fo the course you need to

• actively participate in the exercise session 
• work on and successfully solve the weekly exercises 
• write an essey   

Exercises 

Problem sets will be put online under Assignments in the Whiteboard portal. The solutions will be discussed in the tutorial.

Course Overview

• properties of morphisms (proper, projective, smooth, étale, ...)
• (quasi-)coherent sheaves
• Grothendieck topologies
• cohomology (Čech, étale, ...)

References

• Geir Ellingsrud and John Christian Otten: Introduction to Schemes
• Ravi Vakil: The rising sea - Fondations of Algebraic Geometry
• Achim Krause and Thomas Nikolaus: Algebraic Geometry