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Rank two aCM bundles on general determinantal quartic surfaces in $\mathbb{P}^3$ (1601.02911v2)
Published 12 Jan 2016 in math.AG and math.AC
Abstract: Let $F\subseteq\mathbb{P}3$ be a smooth determinantal quartic surface which is general in the N\"other-Lefschetz sense. In the present paper we give a complete classification of locally free sheaves $\mathcal{E}$ of rank $2$ on $F$ such that $h1\big(F,\mathcal{E}(th)\big)=0$ for $t\in\mathbb{Z}$.
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