English

Finite groups and complex projective surfaces

Geometric Topology 2025-12-23 v1 Algebraic Geometry Group Theory

Abstract

In response to a question raised by Belolipetsky and the first author, we prove that for every finite group GG there are infinitely many isomorphism classes of compact complex hyperbolic 22-manifolds with automorphism group isomorphic to GG.

Keywords

Cite

@article{arxiv.2512.19505,
  title  = {Finite groups and complex projective surfaces},
  author = {Alexander Lubotzky and Matthew Stover},
  journal= {arXiv preprint arXiv:2512.19505},
  year   = {2025}
}