Abstract
Let $V$ be a complex algebraic variety, homogeneous under the action of a complex algebraic group. We show that the log Kodaira dimension of $V$ is non-negative if and only if $V$ is a semi-abelian variety.
Information
Published: 1 January 2017
First available in Project Euclid: 21 September 2018
zbMATH: 1396.14044
MathSciNet: MR3793359
Digital Object Identifier: 10.2969/aspm/07510001
Subjects:
Primary:
14M17
Secondary:
14J50
,
14L10
,
32M12
Keywords:
Homogeneous variety
,
Log Kodaira dimension
,
semi-abelian variety
Rights: Copyright © 2017 Mathematical Society of Japan
