Automorphisms of rational manifolds of positive entropy with Siegel disks

DOI10.4171/RLM/610zbMath1240.14009arXiv0905.4257OpenAlexW2963907092MaRDI QIDQ661145

Fabio Perroni, Keiji Oguiso

Publication date: 19 February 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4257

zbMATH Keywords

automorphismstopological entropySiegel disksrational manifolds

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Topological entropy (37B40) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (4)

Some dynamical properties of pseudo-automorphisms in dimension 3 ⋮ Siegel disks on rational surfaces ⋮ Automorphisms of blowups of threefolds being Fano or having Picard number 1 ⋮ Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces

Cites Work

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• Commutative automorphism groups of a compact Kähler manifold
• Periodicities in linear fractional recurrences: degree growth of birational surface maps
• Cyclotomic factors of Coxeter polynomials
• Entropy of algebraic maps
• Dynamics of rational surface automorphisms: linear fractional recurrences
• Dynamics on blowups of the projective plane
• Dynamics on K3 surfaces: Salem numbers and Siegel disks

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