Simple groups of birational transformations in dimension two
Algebraic Geometry
2018-02-27 v1 Group Theory
Abstract
We classify simple groups that act by birational transformations on compact complex K\"ahler surfaces. Moreover, we show that every finitely generated simple group that acts non-trivially by birational transformations on a projective surface over an arbitrary field is finite.
Cite
@article{arxiv.1802.09258,
title = {Simple groups of birational transformations in dimension two},
author = {Christian Urech},
journal= {arXiv preprint arXiv:1802.09258},
year = {2018}
}
Comments
26 pages