The characterization of aCM line bundles on quintic hypersurfaces in $\mathbb{P}^3$

Kenta Watanabe

The characterization of aCM line bundles on quintic hypersurfaces in $\mathbb{P}^3$

Algebraic Geometry 2020-09-15 v1

Authors: Kenta Watanabe

Abstract

Let $X$ be a smooth quintic hypersurface in $\mathbb{P}^3$ , let $C$ be a smooth hyperplane section of $X$ , and let $H=\mathcal{O}_X(C)$ . In this paper, we give a necessary and sufficient condition for the line bundle given by a non-zero effective divisor on $X$ to be initialized and aCM with respect to $H$ .

Keywords

acm line bundle quintic hypersurface effective divisor hyperplane section projective space

Cite

@article{arxiv.2009.05885,
  title  = {The characterization of aCM line bundles on quintic hypersurfaces in $\mathbb{P}^3$},
  author = {Kenta Watanabe},
  journal= {arXiv preprint arXiv:2009.05885},
  year   = {2020}
}

Comments

16 pages

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