Local positivity, multiplier ideals, and syzygies of abelian varieties

Details Local positivity, multiplier ideals, and syzygies of abelian varieties Local positivity, multiplier ideals, and syzygies of abelian varieties

2010-03-23

arxiv.org/abs/1003.4470v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We use the language of multiplier ideals in order to relate the syzygies of
an abelian variety in a suitable embedding with the local positivity of the
line bundle inducing that embedding. This extends to higher syzygies a result
of Hwang and To on projective normality.

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