Conjecture of Tits type for complex varieties and Theorem of Lie-Kolchin type for a cone
Algebraic Geometry
2018-06-20 v1 Complex Variables
Abstract
First, we shall 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 shall confirm the conjecture of Tits type for complex tori, hyperk\"ahler manifolds, surfaces, and minimal threefolds.
Keywords
Cite
@article{arxiv.math/0703103,
title = {Conjecture of Tits type for complex varieties and Theorem of Lie-Kolchin type for a cone},
author = {JongHae Keum and Keiji Oguiso and De-Qi Zhang},
journal= {arXiv preprint arXiv:math/0703103},
year = {2018}
}
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16 pages