## Advanced Studies in Pure Mathematics

### Log Kodaira dimension of homogeneous varieties

#### 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.

#### Article information

Dates
Received: 24 July 2015
Revised: 3 November 2015
First available in Project Euclid: 21 September 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1537498702

Digital Object Identifier
doi:10.2969/aspm/07510001

Mathematical Reviews number (MathSciNet)
MR3793359

Zentralblatt MATH identifier
1396.14044

#### Citation

Brion, Michel; Zhang, De-Qi. Log Kodaira dimension of homogeneous varieties. Algebraic Varieties and Automorphism Groups, 1--6, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07510001. https://projecteuclid.org/euclid.aspm/1537498702