Finite Groups Acting on Compact Complex Parallelizable Manifolds

被引：0

作者：

Golota, Aleksei ^{[1
,2
]}

机构：

[1] Natl Res Univ, Lab Mirror Symmetry, Higher Sch Econ, NRU HSE, 6 Usacheva str, Moscow 119048, Russia

[2] Russian Acad Sci, Steklov Math Inst, 8 Gubkina St, Moscow 119991, Russia

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 08期

关键词：

HOLOMORPHIC SYMPLECTIC-MANIFOLDS; AUTOMORPHISM-GROUPS; JORDAN PROPERTY; DISCRETE SUBGROUPS; LIE-GROUPS; EXAMPLES;

D O I：

10.1093/imrn/rnad191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the automorphism group of a compact complex parallelizable manifold is Jordan. In the course of the proof, we show that outer automorphism groups of cocompact lattices in complex Lie groups have bounded finite subgroups.

引用

页码：6447 / 6470

页数：24

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