English

Automorphism groups of compact complex surfaces

Algebraic Geometry 2019-07-04 v5

Abstract

We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such surface XX is always Jordan, and the birational automorphism group is Jordan unless XX is birational to a product of an elliptic and a rational curve.

Keywords

Cite

@article{arxiv.1708.03566,
  title  = {Automorphism groups of compact complex surfaces},
  author = {Yuri Prokhorov and Constantin Shramov},
  journal= {arXiv preprint arXiv:1708.03566},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-22T21:12:36.311Z