Continuous families of rational surface automorphisms with positive entropy

DOI10.1007/s00208-010-0498-2zbMath1202.37063arXiv0804.2078OpenAlexW1993563979MaRDI QIDQ5962324

Kyounghee Kim, Eric Bedford

Publication date: 22 September 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2078

zbMATH Keywords

automorphism groupcompact complete surfaceiterative blowups

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (12)

Real structures on rational surfaces and automorphisms acting trivially on Picard groups ⋮ Rational surface automorphisms preserving cuspidal anticanonical curves ⋮ Invertible Dynamics on Blow-ups of $${\mathbb {P}}^{k}$$ ⋮ Jonquières maps and \(\mathrm{SL}(2;\mathbb{C})\)-cocycles ⋮ Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy ⋮ Automorphisms of blowups of threefolds being Fano or having Picard number 1 ⋮ Entropy of real rational surface automorphisms: actions on the fundamental groups ⋮ Infinitesimal deformations of rational surface automorphisms ⋮ Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice ⋮ Constraints on automorphism groups of higher dimensional manifolds ⋮ Pseudoautomorphisms with Invariant Curves ⋮ Tri-Coble surfaces and their automorphisms

Cites Work

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• Algebraic entropy and the space of initial values for discrete dynamical systems
• Dynamics of rational surface automorphisms: rotation domains
• Dynamique des automorphismes des surfaces projectives complexes
• Reflection groups in algebraic geometry
• Discrete dynamical systems associated with root systems of indefinite type

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