Topics in Algebraic Geometry: Algebraic Surfaces

cubic surface with rational double points

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)

Instructor(s)

MIT Course Number

18.727

As Taught In

Spring 2008

Level

Graduate

Cite This Course

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.

Other OCW Versions

This is a graduate-level course in Algebraic Geometry. The content varies year to year, according to the interests of the instructor and the students.

Kumar, Abhinav. 18.727 Topics in Algebraic Geometry: Algebraic Surfaces, Spring 2008. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-727-topics-in-algebraic-geometry-algebraic-surfaces-spring-2008 (Accessed). License: Creative Commons BY-NC-SA


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