Constraints on automorphism groups of higher dimensional manifolds

DOI10.1016/j.jmaa.2013.03.048zbMath1322.14061arXiv1212.3735OpenAlexW2963139024MaRDI QIDQ2257206

Serge Cantat, Turgay Bayraktar

Publication date: 24 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3735

zbMATH Keywords

automorphismtopological entropyrational manifoldPicard number one

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and unirational varieties (14M20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (6)

Invertible Dynamics on Blow-ups of $${\mathbb {P}}^{k}$$ ⋮ Automorphisms of blowups of threefolds being Fano or having Picard number 1 ⋮ Pseudo-automorphisms with no invariant foliation ⋮ Constraints on automorphism groups of higher dimensional manifolds ⋮ Corrigendum to ``Constraints on automorphism groups of higher dimensional manifolds ⋮ Pseudoautomorphisms with Invariant Curves

Cites Work

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• Periodicities in linear fractional recurrences: degree growth of birational surface maps
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• On rational surfaces, II
• Dynamique des automorphismes des surfaces projectives complexes
• Two Fundamental Theorems on Deformations of Polarized Varieties
• Dynamics of automorphisms of \(K3\) surfaces
• Continuous families of rational surface automorphisms with positive entropy

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