Principal bundles, quasi-abelian varieties and structure of algebraic groups
Algebraic Geometry
2008-06-24 v1
Abstract
We classify principal bundles over anti-affine schemes with affine and commutative structural group. We show that this yields the classification of quasi-abelian varieties over a field k (i.e., group k-schemes with no non constant global functions). The interest of this result is given by the fact that the classification of smooth group k-schemes is reduced to the classification of quasi-abelian varieties and of certain affine group schemes.
Keywords
Cite
@article{arxiv.0806.3712,
title = {Principal bundles, quasi-abelian varieties and structure of algebraic groups},
author = {Carlos Sancho de Salas and Fernando Sancho de Salas},
journal= {arXiv preprint arXiv:0806.3712},
year = {2008}
}
Comments
26 pages