English

Cubic surfaces with infinite, discrete automorphism group

Algebraic Geometry 2024-10-18 v2 Number Theory

Abstract

We prove that the automorphism group of an affine, cubic surface with equation xyz=g(x,y)xyz=g(x,y) contains Z{\mathbb Z} as a finite index subgroup. These equations were first studied by Mordell. v.2: small changes, references updated.

Keywords

Cite

@article{arxiv.2410.03934,
  title  = {Cubic surfaces with infinite, discrete automorphism group},
  author = {János Kollár and David Villalobos-Paz},
  journal= {arXiv preprint arXiv:2410.03934},
  year   = {2024}
}
R2 v1 2026-06-28T19:09:25.113Z