Une caractérisation géométrique des exemples de Lattès de $\mathbb{P}^k$

DOI10.24033/bsmf.2392zbMath0994.32026OpenAlexW2463289605MaRDI QIDQ2773545

François Berteloot, Jean-Jacques Loeb

Publication date: 24 February 2002

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/Publications/Bulletin/129/html/smf_bull_129_175-188.html

zbMATH Keywords

complex projective spaceVoronoi cellsGreen currentcrystallographic groupholomorphic self-mapLattès example

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Currents (32U40)

Related Items (17)

Rescaling methods in complex analysis ⋮ Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\) ⋮ Perturbations of examples of Lattès and Hausdorff dimension of bifurcation place ⋮ Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy ⋮ Dynamical pairs with an absolutely continuous bifurcation measure ⋮ On the regularity of the Green current for semi-extremal endomorphisms of \(\mathbb{P}^2\) ⋮ Dimension of ergodic measures and currents on ⋮ Commuting pairs of endomorphisms of ⋮ Proper holomorphic self-maps of quasi-balanced domains ⋮ Sur les endomorphismes polynomiaux permutables de \({\mathbb C}^2\). (On the commuting polynomial endomorphisms of \({\mathbb C}^2\)) ⋮ Lattès maps on \(\mathbb P^2\) ⋮ Ricci-flat metrics and dynamics on \(K3\) surfaces ⋮ Entropy of meromorphic maps acting on analytic sets ⋮ Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) ⋮ Dynamics of fibered endomorphisms of CP(k) ⋮ Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics ⋮ Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜}

This page was built for publication: Une caractérisation géométrique des exemples de Lattès de $\mathbb{P}^k$