Algebraic Surfaces in Positive Characteristic
Algebraic Geometry
2014-12-03 v4
Abstract
These notes are an introduction to and an overview of the theory of algebraic surfaces over algebraically closed fields of positive characteristic. After some background in characteristic-p-geometry, we sketch the Kodaira-Enriques classification. Next, we turn to more special characteristic-p topics, and end by lifting results and applications to characteristic zero. We assume that the reader has a background in complex geometry and has seen the Kodaira-Enriques classification of complex surfaces before.
Cite
@article{arxiv.0912.4291,
title = {Algebraic Surfaces in Positive Characteristic},
author = {Christian Liedtke},
journal= {arXiv preprint arXiv:0912.4291},
year = {2014}
}
Comments
66 pages, expanded lecture notes - final version