Local positivity, multiplier ideals, and syzygies of abelian varieties

Robert Lazarsfeld; Giuseppe Pareschi; Mihnea Popa

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arXiv · 1003.4470

Local positivity, multiplier ideals, and syzygies of abelian varieties

Robert Lazarsfeld·Giuseppe Pareschi·Mihnea Popa

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Abstract

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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Robert Lazarsfeld, Giuseppe Pareschi, Mihnea Popa. 2010-03-23. Local positivity, multiplier ideals, and syzygies of abelian varieties. https://arxiv.org/abs/1003.4470

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