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.
The equations of singular loci of ample divisors on (subvarieties of) abelian varieties / L. Lombardi, F. Malaspina. - In: LE MATEMATICHE. - ISSN 0373-3505. - 63:I(2008), pp. 155-166.
The equations of singular loci of ample divisors on (subvarieties of) abelian varieties
L. Lombardi;
2008
Abstract
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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