English

Jordan property for groups of birational selfmaps

Algebraic Geometry 2019-02-20 v4

Abstract

Assuming a particular case of Borisov--Alexeev--Borisov conjecture, we prove that finite subgroups of the automorphism group of a finitely generated field over Q have bounded orders. Further, we investigate which algebraic varieties have groups of birational selfmaps satisfying the Jordan property.

Keywords

Cite

@article{arxiv.1307.1784,
  title  = {Jordan property for groups of birational selfmaps},
  author = {Yuri Prokhorov and Constantin Shramov},
  journal= {arXiv preprint arXiv:1307.1784},
  year   = {2019}
}

Comments

LaTeX, 19 pages