Syzygies of adjoint linear series on projective varieties

Purnaprajna Bangere; Justin Lacini

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arXiv · 2302.02517

Syzygies of adjoint linear series on projective varieties

Purnaprajna Bangere·Justin Lacini

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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 $m\geqslant n+1+p$. We also show the graded ring of sections $R(X, K_X+mA)$ is Koszul for $m\geqslant n+2$.

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BibTeX RIS

Purnaprajna Bangere, Justin Lacini. 2023-02-06. Syzygies of adjoint linear series on projective varieties. https://arxiv.org/abs/2302.02517

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