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arXiv · 1803.02164

An Enriques Classification Theorem for Surfaces in Positive Characteristic

Eugenia Ferrari
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Abstract

We prove that a smooth projective surface $S$ over an algebraically closed field of characteristic $p>3$ is birational to an abelian surface if $P_1(S)=P_4(S)=1$ and $h^1(S,\mathcal{O}_S)=2$.

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Eugenia Ferrari. 2018-03-06. An Enriques Classification Theorem for Surfaces in Positive Characteristic. https://arxiv.org/abs/1803.02164

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