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arXiv:1209.2939 [math.AG]AbstractReferencesReviewsResources

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

Lei Zhang

Published 2012-09-13, updated 2012-09-14Version 2

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.

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