The equations of singular loci of ample divisors on (subvarieties of) abelian varieties
Keywords:
Singular loci, Continuously global generation, Bundle of differential operatorsAbstract
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system |L| of an ample line bundle on a complex abelian variety. We prove an effective result on their (continuous) global generation, after suitable twists by powers of L. Moreover we show that similar results hold for subvarieties of a complex abelian variety.
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