Dynamical degree of plane Cremona transformations which stabilize a nonelliptic irrational curve.

DOI10.1016/j.crma.2005.07.014zbMath1080.37052OpenAlexW2068154440MaRDI QIDQ2570044

Ivan Pan

Publication date: 26 October 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.07.014

zbMATH Keywords

plane birational maps

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)

Related Items

Rational surface maps with invariant meromorphic two-forms ⋮ Embeddings of \(\mathrm{SL}(2, \mathbb Z)\) into the Cremona group ⋮ Cremona transformations, surface automorphisms, and plain cubics. With an appendix by Igor Dolgachev ⋮ On the inertia group of elliptic curves in the Cremona group of the plane ⋮ On birational transformations of pairs in the complex plane

Cites Work

• Entropy of algebraic maps
• Monomial maps in two dimensions
• Algebraic entropy of birational maps with invariant curves
• Dynamics of bimeromorphic maps of surfaces
• Value distribution for sequences of rational mappings and complex dynamics
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