Department of Mathematics

Algebraic Geometry

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Lecturer Prof. Dr. Rahul Pandharipande
Lectures Tue 15-17, HG E 1.2

Thu 10-12, HG G 26.5

Coordinator Johannes Schmitt
Fri 13-14, HG E 33.5

Fri 13-14, HG G 26.1

First lecture: Tuesday, February 23, 2016

First exercise class: Friday, February 26, 2016


Here you find a list of questions for the preparation of the exam. You should be able to answer them in detail and discuss concepts related to them.

Content and Literature

This course is an introduction to Algebraic Geometry (algebraic varieties and schemes).

The main reference for the course is
* I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag.

For the exercises we will also use
* Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer.

There are also some very good texts that are freely available online. The two following are recommended:
* J.S. Milne, Algebraic Geometry (mainly about abstract algebraic varieties - schemes only appear in the very end)
* Ravi Vakil, Foundations of Algebraic Geometry (quite abstract)

Further readings:
* Robin Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Springer.
* Ulrich Görtz and Torsten Wedhorn, Algebraic Geometry I, Advanced Lectures in Mathematics, Springer.
* Jean Gallier and Stephen S. Shatz, Algebraic Geometry

Problem Sheets

Problem sheet Solution Due on date
Sheet 0 Solution 0 /
Sheet 1 Solution 1 04.03.2016
Sheet 2 Solution 2 11.03.2016
Sheet 3 Solution 3 18.03.2016
Sheet 4 Solution 4 04.04.2016
Sheet 5 Solution 5 15.04.2016
Sheet 6 Solution 6 22.04.2016
Sheet 7 Solution 7 29.04.2016
Sheet 8 Solution 8 06.05.2016
Sheet 9 Solution 9 13.05.2016
Sheet 10 Solution 10 20.05.2016
Sheet 11 Solution 11 27.05.2016
Sheet 12 Solution 12 03.06.2016

Problem sheets are also uploaded on the platform matplat (formerly taskbase) at If you get stuck with an exercise, you can also find hints there, which can be uncovered by clicking.

Exercise groups

Group Room Assistant Time
HG E 33.5 Alexandre Puttick Friday, 13-14
2 HG G 26.1 Bledar Fazlija Friday, 13-14

Exercise sheets will usually be published on Wednesday and are to be handed in until Friday of the following week. You can do so in the exercise class or in the pidgeon-holes in HG J 68.

Students with last names A-L please hand in their solutions in Group 1, last names M-Z in Group 2.


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© 2016 Mathematics Department | Imprint | Disclaimer | 6 June 2016