Rank two aCM bundles on general determinantal quartic surfaces in ${\mathbb{P}}^3$

Abstract

Let $F\subseteq {\mathbb{P}}^3$ be a smooth determinantal quartic surface which is general in the Nöther-Lefschetz sense. In the present paper we give a complete classification of locally free sheaves $\mathcal{E}$ of rank $2$ on $F$ such that $h^1(F,\mathcal{E}(th))=0$ for $t\in \mathbb{Z}$.

20 pages, 1 figure. Exposition improved

References in corpus (2)

• Determinantal hypersurfaces
• A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4

Cited by in corpus (1)

• Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces