Complex Algebraic Surfaces - Spring 2018

Time and Place : MW 10-11:20; Math 4-130

Instructor : Radu Laza

Office : Math Tower 4-121
Email :  radu.laza@stonybrook.edu

Office Hours: TBA

Overview

This is a second course in Algebraic Geometry focusing on Compact Complex Surfaces. While some knowledge of AG is assumed, I will try to make the course self-contained (should be accessible to students in nearby fields).

References:

Topics Discussed: [to be updated soon]


Schedule

DatesTopicReferencesExercises
(1) Jan 22, 24 Invariants of surfaces
Divisors and Intersection pairing
[F]
[B] -- Ch. 1
(2) Jan 29, 31 Riemann-Roch et al.
Ample, Big, Nef divisors
Birational Maps
[B] -- Ch. 1
[F] / [KM]
[B] -- Ch. 2
(3) Feb 5, 7 Birational Maps
Ruled Surfaces
[B] -- Ch. 2
[B] -- Ch. 3
(4) Feb 12, 14 Ruled and Rational Surfaces [B] -- Ch. 3
[B] -- Ch. 4
(5) Feb 19, 21
(6) Feb 26, 28
(7) Mar 5, 7
(8) Mar 19, 21
(9) Mar 26, 28
(10) Apr 2, 4
(11) Apr 9, 11
(12) Apr 16, 18
(13) Apr 23, 25
(14) Apr 30, May 2