Asymptotic vanishing of syzygies of algebraic varieties

نویسندگان

چکیده

The purpose of this paper is to prove Ein–Lazarsfeld’s conjecture on asymptotic vanishing syzygies algebraic varieties. This result, together with nonvanishing theorem, describes the overall picture behaviors minimal free resolutions graded section rings line bundles a projective variety as positivity grows. Previously, Raicu reduced problem case products three spaces, and we resolve here.

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ژورنال

عنوان ژورنال: Communications of the American Mathematical Society

سال: 2022

ISSN: ['2692-3688']

DOI: https://doi.org/10.1090/cams/7