Tits alternative for automorphism groups of compact Kaehler manifolds

2012/10/13 by Tien‐Cuong Dinh, Tien-Cuong Dinh, Dinh, Tien-Cuong
Mathematics · #14E07 #14J50 #32H50 #32M05 #32Q15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.CV #math.DS #msc:14E07 #msc:14J50 #msc:32H50 #msc:32M05 #msc:32Q15

paper · pdf · doi:10.48550/arxiv.1210.3681

19 pages, references added

openalex publication_date 2012/10/13 · arxiv created 2012/10/24 · arxiv updated 2012/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey some properties of the automorphism groups of compact Kaehler manifolds. In particular, we present recent results by Keum, Oguiso and Zhang on the structure of these groups from the Tits alternative point of view. Several other related results will be also discussed. This paper is written for the VIASM Annual Meeting 2012.

Citations

• A remark on dynamical degrees of automorphisms of hyperkähler manifolds
• Algebraic versus topological entropy for surfaces over finite fields

Related

• Solvable automorphism groups of a compact Kaehler manifold
• Tits alternative in hypekähler manifolds
• Homomorphisms between Kaehler groups
• Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces
• A note on the automorphism group of a compact complex manifold