SoSe 26: Algebraic Geometry II

Lectures: Tuesday 10-12 M104, Wednesday 10-12 M103
Exercises: Thursday 16–18 PHY5.0.20

GRIPS page

We will study various aspects of the geometry of schemes, including the following topics: smoothness, properness, divisors and blowups.

Lecture notes

The lecture notes contain all the material from the lecture, without the proofs.

Lecture notes (updated on 01.05.2026)

Exercises

• Sheet 1 (due 23.04)
• Sheet 2 (due 30.04)
• Sheet 3 (due 07.05)

References

• Y. Zhao, Scheme theory I, Lecture notes, 2024
• U. Görtz, T. Wedhorn, Algebraic Geometry I: Schemes, Springer Link, 2020
• D. Eisenbud, J. Harris, The Geometry of Schemes, Springer Link, 2020
• Yu. I. Manin, Introduction to the Theory of Schemes, Springer Link, 2018
• R. Hartshorne, Algebraic Geometry, Springer Link, 1977
• R. Vakil, The Rising Sea: Foundations of Algebraic Geometry, 2024