A theorem of Tits type for compact Kahler manifolds

Abstract

We prove a theorem of Tits type about automorphism groups for compact Kahler manifolds, which has been conjectured in the paper [KOZ].

Inventiones Mathematicae (to appear), 11 pages

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• Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank
• Polynomial volume growth of quasi-unipotent automorphisms of abelian varieties (with an appendix in collaboration with Chen Jiang)
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