2023
DOI: 10.48550/arxiv.2302.02517
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Syzygies of adjoint linear series on projective varieties

Abstract: Let X be a smooth complex projective variety of dimension n and let A be an ample and basepoint free divisor. We prove K X + mA satisfies property N p for m n + 1 + p. We also show the graded ring of sections R(X, K X + mA) is Koszul for m n + 2.

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