A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic. With an appendix by Tomohide Terasoma

DOI10.1007/s00208-019-01812-9zbMath1455.14082arXiv1801.06555OpenAlexW2952991934WikidataQ128342254 ScholiaQ128342254MaRDI QIDQ785358

D. Kharzeev

Publication date: 6 August 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06555

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) 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) Algebraic cycles (14C25) Automorphisms of surfaces and higher-dimensional varieties (14J50) Positive characteristic ground fields in algebraic geometry (14G17) Arithmetic and non-Archimedean dynamical systems (37P99)

Related Items (5)

Free abelian group actions on normal projective varieties: submaximal dynamical rank case ⋮ Eigenvalues and dynamical degrees of self-maps on abelian varieties ⋮ Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic — A remark to a paper of Dinh-Oguiso-Zhang ⋮ Compact Kähler threefolds with the action of an abelian group of maximal rank ⋮ Cohomological and numerical dynamical degrees on abelian varieties

Cites Work

• Algebraic versus topological entropy for surfaces over finite fields
• Commutative automorphism groups of a compact Kähler manifold
• Conjecture of Tits type for complex varieties and theorem of Lie-Kolchin type for a cone
• A theorem of Tits type for compact Kähler manifolds
• Théoremes de Bertini et applications
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Tits alternative for automorphism groups of compact Kähler manifolds
• Relative dynamical degrees of correspondences over a field of arbitrary characteristic
• Birational characterization of abelian varieties and ordinary abelian varieties in characteristic \(p>0\)
• Cohomological and numerical dynamical degrees on abelian varieties
• Periodic points of birational transformations on projective surfaces
• Compact Kähler manifolds admitting large solvable groups of automorphisms
• Free subgroups in linear groups
• 𝑛-dimensional projective varieties with the action of an abelian group of rank 𝑛-1
• Pseudo-reflection groups and essential dimension
• Kodaira Dimension of Algebraic Function Fields
• Bertini theorems for hypersurface sections containing a subscheme
• Jordan property for non-linear algebraic groups and projective varieties
• Some structure theorems for algebraic groups
• Automorphisms of Elliptic K3 surfaces and Salem numbers of maximal degree
• Positive cones of dual cycle classes
• On subadditivity of Kodaira dimension in positive characteristic over a general type base
• Automorphism groups of positive entropy on projective threefolds
• Linear Transformations with Invariant Cones
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