Siegel Disks on Rational Surfaces
Dynamical Systems
2020-09-18 v2
Abstract
We show the existence of a rational surface automorphism of positive entropy with a given number of Siegel disks. Moreover, among automorphisms obtained from quadratic birational maps on the projective plane fixing irreducible cubic curves, we find out an automorphism of positive entropy with multiple Siegel disks.
Cite
@article{arxiv.1512.02071,
title = {Siegel Disks on Rational Surfaces},
author = {Takato Uehara},
journal= {arXiv preprint arXiv:1512.02071},
year = {2020}
}
Comments
23 pages, 3 figure