Log Kodaira dimension of homogeneous varieties

Michel Brion (1) , De-Qi Zhang (2)

1 IF - Institut Fourier
2 NUS - National University of Singapore

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.

Domaines: Mathématiques [math]

Michel Brion, De-Qi Zhang. Log Kodaira dimension of homogeneous varieties. Algebraic Varieties and Automorphism Groups, 75, 2017, Advanced Studies in Pure Mathematics, 978-4-86497-049-5. ⟨hal-02020785⟩