Thomas Markwig Algebraic Geometry - WT 2009/10
Research Interests
Curriculum Vitae


Lecture: Mo 10:00-11:30, Rm 48-438 and Do 10:00-11:30, Rm 48-438
Exampleclass: Mo 15:30, Rm 48-438 (Georges Francois / Henning Meyer)


  1. From 4/1/09 on all information about the lecture as well as the exercise sets can be found on the web page of Andreas Gathmann.
  2. There are lecture notes by Simon Hampe on a large part of the course available. Please let me know if you find any errors or misprints:
  3. Besides the lecture notes by Andreas Gathmann, which perfectly cover the contents of the lecture, I recommend my own notes mentioned below as complementary reading. They do not match the course contents and contain basically no proofs, but they give an idea on what the theory is about and they give lots of easy examples. Moreover, the introduce you to Singular and visualisation software such as surf and surfex. Unfortunately they are only available in German.
  4. The lecturer of this lecture is Andreas Gathmann. I will just replace him for the first part of this lecture. Further information on this lecture (in particular his lecture notes) can be found on his website on algebraic geometry.
  5. The lecture starts on Monday, October 26, 2009.
  6. If you intend to participate in the example classes please register online via: The example class takes place on Wednesdays, at 13:45. In case this time turns out to be inconvenient, we will try to find a more suitable time.


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Stephan Klaus, Oliver Labs, Thomas Markwig: Theorie und Visualisierung algebraischer Kurven und Flächen. Fortbildung für Mathematiklehrer (2009).
Andreas Gathmann, Algebraic Geometry, Vorlesungsskript TU Kaiserslautern 2002/03.
Joe Harris, Algebraic Geometry, A First Course, Springer. (viel Beispiele, wenig Theorie)
Robin Hartshorne, Algebraic Geometry, Springer 1977. (Viel Theorie, weniger Beispiele)
David Eisenbud, Commutative Algebra with a View towards Algebraic Geometry, Springer. (für die zugrunde liegende kommutative Algebra)


For the contents of this lecture I refer you to the website of Andreas Gathmann on algebraic geometry.

Univ. of TübingenDept. of MathematicsSection AlgebraCAS SINGULAR