Highly Influenced

2 Excerpts

@inproceedings{Pareschi2004RegularityOA, title={Regularity on abelian varieties II: Basic results on linear series and defining equations}, author={Giuseppe Pareschi and M arcel Ionel Popa}, year={2004} }

- Published 2004
DOI:10.1090/S1056-3911-03-00345-X

We apply the theory of M-regularity developed in [PP] to the study of linear series given by multiples of ample line bundles on abelian varieties. We define an invariant of a line bundle, called M-regularity index, which is seen to govern the higher order properties and (partly conjecturally) the defining equations of such embeddings. We prove a general result on the behavior of the defining equations and higher syzygies in embeddings given by multiples of ample bundles whose base locus has no… CONTINUE READING