Rational surface automorphisms with positive entropy

Takato Uehara

doi:10.5802/aif.3014

Rational surface automorphisms with positive entropy

Takato Uehara

Research output: Contribution to journal › Article › peer-review

11 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 language	English
Pages (from-to)	377-432
Number of pages	56
Journal	Annales de l'Institut Fourier
Volume	66
Issue number	1
DOIs	https://doi.org/10.5802/aif.3014
Publication status	Published - 2016
Externally published	Yes

Keywords

Automorphism
Entropy
Orbit data
Rational surface

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/aif.3014

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N2 - 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.

AB - 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.

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KW - Entropy

KW - Orbit data

KW - Rational surface

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Rational surface automorphisms with positive entropy

Abstract

Keywords

ASJC Scopus subject areas

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