𝑛-dimensional projective varieties with the action of an abelian group of rank 𝑛-1

DOI10.1090/tran/6629zbMath1369.32012arXiv1412.5779OpenAlexW1755064071MaRDI QIDQ2822722

D.-Q. Zhang

Publication date: 4 October 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5779

zbMATH Keywords

automorphismabelian varietiesholomorphic dynamicspositive entropy

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex Lie groups, group actions on complex spaces (32M05) Topological entropy (37B40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (12)

Free abelian group actions on normal projective varieties: submaximal dynamical rank case ⋮ Totally invariant divisors of int-amplified endomorphisms of normal projective varieties ⋮ Building blocks of polarized endomorphisms of normal projective varieties ⋮ Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits ⋮ Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank ⋮ Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic — A remark to a paper of Dinh-Oguiso-Zhang ⋮ Normal projective varieties admitting polarized or int-amplified endomorphisms ⋮ Compact Kähler threefolds with the action of an abelian group of maximal rank ⋮ A note on Kawaguchi–Silverman conjecture ⋮ Building blocks of amplified endomorphisms of normal projective varieties ⋮ Kawaguchi-Silverman conjecture for certain surjective endomorphisms ⋮ A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic. With an appendix by Tomohide Terasoma

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