Regularity on abelian varieties II: Basic results on linear series and defining equations

@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}
}
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

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