Jordan property and automorphism groups of normal compact Kähler varieties-Reference-Cited by-同舟云学术

Jordan property and automorphism groups of normal compact Kähler varieties

Published:2018-02-21 Issue:03 Volume:20 Page:1750024
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Kim Jin Hong¹

Affiliation:

1. Department of Mathematics Education, Chosun University, 309 Pilmun-daero, Dong-gu, Gwangju 61452, Republic of Korea

Abstract

It has been recently shown by Meng and Zhang that the full automorphism group [Formula: see text] is a Jordan group for all projective varieties in arbitrary dimensions. The aim of this paper is to show that the full automorphism group [Formula: see text] is, in fact, a Jordan group even for all normal compact Kähler varieties in arbitrary dimensions. The meromorphic structure of the identity component of the automorphism group and its Rosenlicht-type decomposition play crucial roles in the proof.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500249

Reference16 articles.

1. On Automorphisms and Endomorphisms of Projective Varieties

2. Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné

3. On automorphism groups of compact K�hler manifolds

4. Closedness of the Douady spaces of compact Kähler spaces

5. Linear Algebraic Groups

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