Continuous Families of Rational Surface Automorphisms with Positive Entropy
Complex Variables
2009-02-28 v2 Algebraic Geometry
Abstract
We construct k-parameter families of rational surface automorphisms for any k. These are automorphisms of surfaces X, which are constructed from iterated blowups over the projective plane. In certain cases: we are able to determine the exact automorphism group of X, as well as when two of the surfaces X are inequivalent.
Cite
@article{arxiv.0804.2078,
title = {Continuous Families of Rational Surface Automorphisms with Positive Entropy},
author = {Eric Bedford and Kyounghee Kim},
journal= {arXiv preprint arXiv:0804.2078},
year = {2009}
}