English

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

Algebraic Geometry 2020-12-16 v3

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.

Keywords

Cite

@article{arxiv.1908.07928,
  title  = {On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic},
  author = {Long Wang},
  journal= {arXiv preprint arXiv:1908.07928},
  year   = {2020}
}

Comments

A gap in Section 3 fixed

R2 v1 2026-06-23T10:53:19.845Z