Fixed points of a finite subgroup of the plane Cremona group
Algebraic Geometry
2016-01-05 v2
Abstract
We classify all finite subgroups of the plane Cremona group which have a fixed point. In other words, we determine all rational surfaces X with an action of a finite group G such that X is equivariantly birational to a surface which has a G-fixed point.
Keywords
Cite
@article{arxiv.1408.4042,
title = {Fixed points of a finite subgroup of the plane Cremona group},
author = {Igor Dolgachev and Alexander Duncan},
journal= {arXiv preprint arXiv:1408.4042},
year = {2016}
}
Comments
Final Version. To appear in Algebr. Geom