SoSe 26: Algebraic Geometry II
Lectures: Tuesday 10-12 M104, Wednesday 10-12 M103
Exercises: Thursday 16–18 PHY5.0.20
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 10.06.2026)
Exercises
- Sheet 1 (due 23.04)
- Sheet 2 (due 30.04)
- Sheet 3 (due 07.05)
- Sheet 4 (due 21.05)
- Sheet 5 (due 28.05)
- Sheet 6 (due 11.06)
- Sheet 7 (due 18.06)
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