On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic

Long Wang

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arXiv · 1908.07928

On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic

Long Wang

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Abstract

We prove that, for an Enriques surface in odd characteristic, the automorphism group is finitely generated and it acts on the effective nef cone with a rational polyhedral fundamental domain. We also construct a smooth projective surface in odd characteristic which is birational to an Enriques surface and whose automorphism group is discrete but not finitely generated.

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Long Wang. 2019-08-20. On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic. https://arxiv.org/abs/1908.07928

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