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

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

2008-03-24

arxiv.org/abs/0803.3444v2

Mathematics

Algebraic Geometry

9 pages, no figures

Scientific paper

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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