MATH 730 : Algebraic Surfaces

Spring 2011 , METU

           

Description: This class is a continuation of the Complex Geometry class MATH 747. We deal with the algebraic geometric study of the complex surfaces. Complex surfaces provide a wealth of examples in 4-manifold geometry and topology. In particular, useful in Symplectic Topology, study of Lefschetz fibrations, Stein manifolds, Einstein metrics, Yamabe Problem etc. Our aim is to develope the necessary tools to be able to understand the introductory classic:
1. Complex Algebraic Surfaces by Arnaud Beauville.
And also the ultimate reference on the subject:
2. Compact Complex Surfaces by Barth, Peters, Van de Ven and Hulek.

Text: 1. Principles of Algebraic Geometry by Griffiths and Harris
Some other helpful references:
2. Complex Geometry by D. Huybrechts.
3. Differential Analysis on Complex Manifolds by R.O.Wells.
4. Lectures on Kähler geometry by A.Moroianu.

Web page: The course web page is http://www.metu.edu.tr/~mkalafat/metu730/.

Calendars: Academic , Monthly

SYLLABUS, HOMEWORK and ANNOUNCEMENTS