English

Log Kodaira dimension of homogeneous varieties

Algebraic Geometry 2018-06-20 v2 Group Theory

Abstract

Let VV be a complex algebraic variety, homogeneous under the action of a complex algebraic group. We show that the log Kodaira dimension of VV is non-negative if and only if VV is a semi-abelian variety.

Keywords

Cite

@article{arxiv.1511.01274,
  title  = {Log Kodaira dimension of homogeneous varieties},
  author = {Michel Brion and De-Qi Zhang},
  journal= {arXiv preprint arXiv:1511.01274},
  year   = {2018}
}