Pseudo-automorphisms with no invariant foliation

DOI10.3934/jmd.2014.8.221zbMath1333.37059arXiv1309.3695OpenAlexW2963190987MaRDI QIDQ478802

Serge Cantat, Kyounghee Kim, Eric Bedford

Publication date: 4 December 2014

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3695

zbMATH Keywords

singular foliationinvariant foliationdynamical degreespseudo-automorphismcohomologically nonhyperbolicrational 3-foldsregular birational map

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Compact Kähler manifolds: generalizations, classification (32J27) Dynamical aspects of holomorphic foliations and vector fields (37F75) Rationally connected varieties (14M22)

Related Items (9)

Invertible Dynamics on Blow-ups of $${\mathbb {P}}^{k}$$ ⋮ Typical dynamics of plane rational maps with equal degrees ⋮ Rational endomorphisms of codimension one holomorphic foliations ⋮ Spectral interpretations of dynamical degrees and applications ⋮ Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum ⋮ Regularizations of pseudo-automorphisms with positive algebraic entropy ⋮ Computing dynamical degrees of rational maps on moduli space ⋮ Salem numbers in dynamics on Kähler threefolds and complex tori ⋮ Pseudoautomorphisms with Invariant Curves

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