Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103043
Title: Conjecture of tits type for complex varieties and theorem of lie-kolchin type for a cone
Authors: Keum, J.
Oguiso, K.
Zhang, D.-Q. 
Keywords: Automorphism
Hyperkähler
Lie-kolchin
Tits
Topological entropy
Issue Date: Jan-2009
Source: Keum, J.,Oguiso, K.,Zhang, D.-Q. (2009-01). Conjecture of tits type for complex varieties and theorem of lie-kolchin type for a cone. Mathematical Research Letters 16 (1) : 133-148. ScholarBank@NUS Repository.
Abstract: First, we formulate and prove Theorem of Lie-Kolchin type for a cone and derive some algebro-geometric consequences. Next, inspired by a recent result of Dinh and Sibony we pose a conjecture of Tits type for a group of automorphisms of a complex variety and verify its weaker version. Finally, applying Theorem of Lie-Kolchin type for a cone, we confirm the conjecture of Tits type for complex tori, hyperkähler manifolds, surfaces, and minimal threefolds. © International Press 2009.
Source Title: Mathematical Research Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/103043
ISSN: 10732780
Appears in Collections:Staff Publications

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