A note on the linear systems on the projective bundles over Abelian varieties
Algebraic Geometry
2012-09-17 v2
Abstract
It is well known that for an ample line bundle on an Abelian variety , the linear system |2L| is base point free, and 3L is very ample, moreover the map defined by the linear system |2L| is well understood. In this paper we generalized this classical result and give a new proof using the theory CGG developed by Pareschi and Popa.
Keywords
Cite
@article{arxiv.1209.2939,
title = {A note on the linear systems on the projective bundles over Abelian varieties},
author = {Lei Zhang},
journal= {arXiv preprint arXiv:1209.2939},
year = {2012}
}
Comments
11 pages, overlap the part of the paper arXiv:1111.4798, to appear in Proc. of American Math. Society