18.727 Topics in Algebraic Geometry: Algebraic Surfaces

Spring 2008

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)

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.
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Staff

Instructor:
Prof. Abhinav Kumar

Course Meeting Times

Lectures:
2 sessions / week
1.5 hours / session

Level

Graduate