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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Lecture Notes
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.)
