Topics in Algebraic Geometry: Algebraic Surfaces
As taught in: Spring 2008
An example of a cubic surface with singularities. Eight lines on the cubic surface are shown. On a nonsingular cubic surface, there are always 27 lines. (Image courtesy of Dr. Oliver Labs and Prof. Duco van Straten, Cubics.AlgebraicSurface.net)
Instructors:
Prof. Abhinav Kumar
MIT Course Number:
18.727
Level:
Graduate
Course Features
Course Description
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
