Groups acting on cubic surfaces in characteristic zero

Jonathan M. Smith

Groups acting on cubic surfaces in characteristic zero

Algebraic Geometry 2024-01-30 v1

Authors: Jonathan M. Smith

Abstract

For every field $k$ of characteristic zero, we determine the groups that act as automorphisms on a smooth cubic surface over $k$ . We also determine the groups that act on $k$ -rational, stably $k$ -rational, or $k$ -unirational smooth cubic surfaces.

Keywords

automorphisms of algebraic surfaces group actions mapping class groups

Cite

@article{arxiv.2401.15735,
  title  = {Groups acting on cubic surfaces in characteristic zero},
  author = {Jonathan M. Smith},
  journal= {arXiv preprint arXiv:2401.15735},
  year   = {2024}
}

Comments

15 pages

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