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Syzygies of Kummer varieties

Federico Caucci

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Source: Crossref

Published: Nov 7, 2023

DOI: 10.1090/tran/9062

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Source abstract

We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties case. Namely, an m m th power of an ample line bundle on a Kummer variety satisfies the Green-Lazarsfeld property ( N p ) (N_p) , if m > p + 2 2 m > \frac {p+2}{2} .

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Syzygies of Kummer varieties — Mathematical Frontier Network