Invariant hypersurfaces in holomorphic dynamics

DOI10.4310/MRL.2010.v17.n5.a3zbMath1232.32006OpenAlexW1986250964MaRDI QIDQ2275738

Serge Cantat

Publication date: 9 August 2011

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2010.v17.n5.a3

zbMATH Keywords

compact complex manifoldinvariant hypersurfacedominant endomorphismmeromorphic transformation

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Meromorphic mappings in several complex variables (32H04)

Related Items (14)

INVARIANT HYPERSURFACES ⋮ Hypersurfaces invariant by Pfaff systems ⋮ Centralizers of elements of infinite order in plane Cremona groups ⋮ A conjecture strengthening the Zariski dense orbit problem for birational maps of dynamical degree one ⋮ On the orbits of plane automorphisms and their stabilizers ⋮ Rational self-maps with a regular iterate on a semiabelian variety ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Embeddings of \(\mathrm{SL}(2, \mathbb Z)\) into the Cremona group ⋮ Invariant hypersurfaces of endomorphisms of projective varieties ⋮ Algebraic integrability of polynomial differential \(r\)-forms ⋮ Darboux-Jouanolou-Ghys integrability for one-dimensional foliations on toric varieties ⋮ The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane ⋮ Actions of Cremona groups on CAT\((0)\) cube complexes ⋮ Periodic points of birational transformations on projective surfaces

This page was built for publication: Invariant hypersurfaces in holomorphic dynamics