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

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 $H$.

16 pages

References in corpus (1)

• ACM bundles on del Pezzo surfaces