English

Homogeneous bundles over abelian varieties

Algebraic Geometry 2011-06-30 v3

Abstract

We obtain characterizations and structure results for homogeneous principal bundles over abelian varieties, that generalize work of Miyanishi and Mukai on homogeneous vector bundles. For this, we rely on notions and methods of algebraic transformation groups, especially observable subgroups and anti-affine groups.

Keywords

Cite

@article{arxiv.1101.2771,
  title  = {Homogeneous bundles over abelian varieties},
  author = {Michel Brion},
  journal= {arXiv preprint arXiv:1101.2771},
  year   = {2011}
}

Comments

Final version, to appear at Journal of the Ramanujam Mathematical Society

R2 v1 2026-06-21T17:12:04.175Z