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

Summer Term 2025

Lecturer: Prof. Dr. Holger Reich   Assistent: Dr. Georg Lehner

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Time and place:

• Lecture: Mondays & Thursdays, 10am--12noon.
• Exercise: Wednesdays, 08am--10am.
• Final Exam:  TBA.

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Prerequisites: Comutitive 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 
• pass the final exam (see above)   

Exercises 

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

Course Overview

The course deals with the fundamentals of homological algebra, sheaf theory, and the theory of ringed spaces and schemes.

Possible topics include: 
- categories and functors
- additive and abelian categories
- cohomology
- sheaf theory
- ringed spaces
- schemes
- separated and proper morphisms
- blowing up
- embeddings into projective spaces, divisors, invertible sheaves 
- Riemann-Roch -Gröbner bases.

References

• For example: Introduction to Schemes, Geir Ellingsrud and John Christian Otten