Degree growth of birational maps of the plane

DOI10.2422/2036-2145.201206_003zbMath1342.14029arXiv1109.6810OpenAlexW2963331934MaRDI QIDQ2950004

Julie Déserti, Jérémy Blanc

Publication date: 5 October 2015

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6810

zbMATH Keywords

Cremona groupdynamical degree

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)

Related Items (17)

Jonquières maps and \(\mathrm{SL}(2;\mathbb{C})\)-cocycles ⋮ On homomorphisms between Cremona groups ⋮ Centralizers of elements of infinite order in plane Cremona groups ⋮ Uniqueness of birational structures on Inoue surfaces ⋮ Characterization of affine surfaces with a torus action by their automorphism groups ⋮ Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution ⋮ Dynamical number of base-points of non base-wandering Jonquières twists ⋮ A connection between birational automorphisms of the plane and linear systems of curves ⋮ Dynamical classification of a family of birational maps of \(\mathbb{C}^2\) via algebraic entropy ⋮ Integrable mappings and the notion of anticonfinement ⋮ Linear degree growth in lattice equations ⋮ On simple Shamsuddin derivations in two variables ⋮ Actions of Cremona groups on CAT\((0)\) cube complexes ⋮ Dynamical invariants of monomial correspondences ⋮ Length in the Cremona group ⋮ Invariant fibrations for some birational maps of ℂ₂ ⋮ THE EMBEDDINGS OF THE HEISENBERG GROUP INTO THE CREMONA GROUP

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