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

2019/08/20 by Long Wang, Wang, Long · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1908.07928

openalex publication_date 2019/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Arithmetic Subgroups of Algebraic Groups
• A surface birational to an Enriques surface with non-finitely generated automorphism group

Cited by

• Orbits of smooth rational curves on Enriques surfaces

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