JournalsrlmVol. 34, No. 1pp. 235–263

Siegel disks on rational surfaces

  • Takato Uehara

    Okayama University, Japan
Siegel disks on rational surfaces cover
Download PDF

This article is published open access under our Subscribe to Open model.

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 this article

Takato Uehara, Siegel disks on rational surfaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 1, pp. 235–263

DOI 10.4171/RLM/1005