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arXiv · 0912.4291

Algebraic Surfaces in Positive Characteristic

Christian Liedtke
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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.

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Christian Liedtke. 2013-04-06. Algebraic Surfaces in Positive Characteristic. https://arxiv.org/abs/0912.4291

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