 Lecturer
 Prof. Emmanuel Kowalski

 Lectures
 Tue 1517, HG F 26.3
 Fri 0810, HG F 26.3

 Coordinator
 Paul Steinmann

 Exercise classes
 Mo 1213, HG F 26.3

This course is an introduction to Algebraic Geometry (algebraic varieties and schemes). It is required to have a basic knowledge of Commutative Algebra.
Short Outline
 Classical Varieties
 Basic Theory of Schemes
 Curves
We prepare an exercise sheet every two weeks. The new exercises will be posted here every other Friday.
We expect you to look at the problems and to prepare questions for the exercise class one week after.
Please hand in your solutions in the exercise class or in your
assistant's box in HG J68 two weeks after receiving the exercise sheet. Your solutions will usually be corrected and
returned in the following exercise class or, if not collected, returned
to the box in HG J68.
The first exercise class will be in the second week of the semester, monday 26th of February.
time  room  assistant  language 
Mo 1213  HG F 26.3  Dante Bonolis  English 
Primary References:
 Robin Hartshorne: Algebraic Geometry, Graduate Texts in Mathematics, Springer.
 David Eisenbud, Joe Harris: The Geometry of Schemes, Graduate Texts in Mathematics, Springer.
 Enrico Bombieri: http://www.numdam.org/item/SB_19721973__15__234_0
 Joseph Silverman: The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, Springer.
 Joe Harris: Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer.
 J. Matousek: https://kam.mff.cuni.cz/~matousek/polychap.pdf
Secondary References:
 Qing Liu: Algebraic Geometry and Arithmetic Curves, Oxford Science Publications.
 Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer.
 Siegfried Bosch: Algebraic Geometry and Commutative Algebra (Springer 2013).
Further Readings
 Ravi Vakil, Foundations of Algebraic Geometry, http://math.stanford.edu/~vakil/216blog/
 Jean Gallier and Stephen S. Shatz, Algebraic Geometry, http://www.cis.upenn.edu/~jean/algeom/steve01.html
 J.S. Milne, Algebraic Geometry, http://www.jmilne.org/math/CourseNotes/AG.pdf
 Günter Harder: Algebraic Geometry 1 & 2.
 I. R. Shafarevich, Basic Algebraic geometry 1 & 2, SpringerVerlag.
 Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA.
 Saunders MacLane: Categories for the Working Mathematician, SpringerVerlag.