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In this paper we consider ideal sheaves associated to the singular loci of adivisor in a linear system $|L|$ of an ample line bundle on a complex abelianvariety. We prove an effective result on their (continuous) global generation,after suitable twists by powers of $L$. Moreover we show that similar resultshold for subvarieties of a complex abelian variety.

The Equations of Singular Loci of Ample Divisors on (Subvarieties of) Abelian Varieties