Algebraic Geometry Spring 2020

Lecturer
Prof. Drew Johnson
Coordinator
Ilaria Viglino
Lectures
Tue 13-15, HG D 1.2
Fri 8-10, HG D 1.2
Exercise classes
Wed 12-13, HG E 33.5
Starting dates
First lecture: Tue, February 18 2020
First exercise class: Wed, February 26, 2020

Content

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

Achtung!

This page is no longer maintained. Please find current homework assignments on Moodle: link

Prerequisites

Some knowledge of Commutative Algebra.

Exercises

The new exercises will be posted here on Friday afternoon (or Monday morning). We expect you to look at the problems over the weekend and to prepare questions for the exercise class on Wednesday.

Exercise sheet 1 February 26 Solutions 1
Exercise sheet 2 March 4 Solutions 2
Exercise sheet 3 March 11
Exercise sheet 4 March 18

Exercise classes

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Wed 12-13HG E 33.5Younghan Baeen

Literature

Primary Reference:
  1. Andreas Gathmann and Kevin Kühn notes, Algebraic Geometry
Secondary Reference:
  1. Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer
  2. Qing Liu: Algebraic Geometry and Arithmetic Curves, Oxford Science Publications
  3. Robin Hartshorne: Algebraic Geometry, Graduate Texts in Mathematics, Springer
  4. Siegfried Bosch: Algebraic Geometry and Commutative Algebra (Springer 2013)
Other good textbooks and online texts are:
  1. David Eisenbud, Joe Harris: The Geometry of Schemes, Graduate Texts in Mathematics, Springer
  2. Ravi Vakil, Foundations of Algebraic Geometry
  3. Jean Gallier and Stephen S. Shatz, Algebraic Geometry
"Classical" Algebraic Geometry over an algebraically closed field:
  1. J.S. Milne, Algebraic Geometry
  2. Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer
Further readings:
  1. Günter Harder: Algebraic Geometry 1 & 2
  2. I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag
  3. Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA
  4. Saunders MacLane: Categories for the Working Mathematician, Springer-Verlag