Syzygies of adjoint linear series on projective varieties

Purnaprajna Bangere; Justin Lacini

Syzygies of adjoint linear series on projective varieties

Algebraic Geometry 2023-02-07 v1

Authors: Purnaprajna Bangere , Justin Lacini

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 $m\geqslant n+2$ .

Keywords

syzygies adjoint linear series projective varieties Koszul ring property N_p

Cite

@article{arxiv.2302.02517,
  title  = {Syzygies of adjoint linear series on projective varieties},
  author = {Purnaprajna Bangere and Justin Lacini},
  journal= {arXiv preprint arXiv:2302.02517},
  year   = {2023}
}

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20 pages

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