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arxiv: 1003.4470 · v1 · submitted 2010-03-23 · 🧮 math.AG

Local positivity, multiplier ideals, and syzygies of abelian varieties

classification 🧮 math.AG
keywords syzygiesabelianembeddingidealslocalmultiplierpositivitybundle
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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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