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Mathematical Research Letters
Volume 28 (2021)
Number 4
On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic
Pages: 1263 – 1281
DOI: https://dx.doi.org/10.4310/MRL.2021.v28.n4.a14
Author
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.
Received 1 November 2019
Accepted 14 December 2020
Published 22 November 2021