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

Kenta Watanabe

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arXiv · 2009.05885

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

Kenta Watanabe

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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 $H$.

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Kenta Watanabe. 2020-09-13. The characterization of aCM line bundles on quintic hypersurfaces in $\mathbb{P}^3$. https://arxiv.org/abs/2009.05885

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