Bounded automorphism groups of compact complex surfaces
Algebraic Geometry
2021-02-03 v4 Complex Variables
Abstract
We classify compact complex surfaces whose groups of bimeromorphic selfmaps have bounded finite subgroups. We also prove that the stabilizer of a point in the automorphism group of a compact complex surface of zero Kodaira dimension, as well as the stabilizer of a point in the automorphism group of an arbitrary compact Kaehler manifold of non-negative Kodaira dimension, always has bounded finite subgroups.
Cite
@article{arxiv.1909.12013,
title = {Bounded automorphism groups of compact complex surfaces},
author = {Yuri Prokhorov and Constantin Shramov},
journal= {arXiv preprint arXiv:1909.12013},
year = {2021}
}
Comments
16 pages