A note on the linear systems on the projective bundles over Abelian varieties

Abstract

It is well known that for an ample line bundle $L$ on an Abelian variety $A$, 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.

11 pages, overlap the part of the paper arXiv:1111.4798, to appear in Proc. of American Math. Society