Rational surface automorphisms with positive entropy

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The aim of this paper is to construct rational surface automorphisms with positive entropy by means of the concept of orbit data. The concept enables us to introduce some mild and verifiable condition, and to show that if an orbit data satisfies the condition, then there exists an automorphism realizing the orbit data. Applying this result, we describe the set of entropy values of the rational surface automorphisms in terms of Weyl groups.

Original languageEnglish
Pages (from-to)377-432
Number of pages56
JournalAnnales de l'Institut Fourier
Volume66
Issue number1
DOIs
Publication statusPublished - Jan 1 2016
Externally publishedYes

Keywords

  • Automorphism
  • Entropy
  • Orbit data
  • Rational surface

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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