Prerequesite: Some familiarity with Differential geometry (MAT530-531), with algebraic topology (MAT 539) and complex analysis (MAT 542).

Textbook: The official text book is Principles of Algebraic Geometry, by Griffiths and Harris.

Material covered: We will try to cover most of Chapter 0 and Chapter 1of the book of Griffiths and Harris, namely: Several complex variables, complex manifolds, Sheaf theory, Hodge theory, Kahler manifolds, Divisors and line bundles, Kodaira vanishing theorem, Lefschetz theorem on hyperplane sections, Kodaira embedding theorem.

Course Lecturer: Frédéric  Rochon, Math Tower 3-114
Phone: 632-8261 email: rochon@math.sunysb.edu
Lectures: TuTh 9:50am-10:10am Room P122
Office Hours: Tu 3-4pm in 3-114, Th 2-3pm in MLC, Th 3-4pm in 3-114

Grading: Grades will be based upon problem sets given along the semester.

Assignment I: Due in class Tuesday, February 6th 2007.

Assignment II: Due in class Tuesday, February 20th 2007.

Assignment III: Due in class Tuesday, March 13th 2007.

Assignment IV: Due in class Thursday, March 29th 2007.

Assignment V: Due in class Tuesday, May first 2007.

DSS advisory. If you have a physical, psychiatric, medical, or learning disability that may affect your ability to carry out the assigned course work, please contact the office of Disabled Student Services (DSS), Humanities Building, room 133, telephone  632-6748/TDD. DSS will review your concerns and determine what accommodations may be necessary and appropriate. All information and documentation of disability is confidential.