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VOL. 75 | 2017 Log Kodaira dimension of homogeneous varieties
Michel Brion, De-Qi Zhang

Editor(s) Kayo Masuda, Takashi Kishimoto, Hideo Kojima, Masayoshi Miyanishi, Mikhail Zaidenberg

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

Rights: Copyright © 2017 Mathematical Society of Japan

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