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arXiv · 0806.2265

Moduli spaces of rank 2 ACM bundles on prime Fano threefolds

Maria Chiara Brambilla·Daniele Faenzi
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Abstract

Given a smooth non-hyperelliptic prime Fano threefold X, we prove the existence of all rank 2 ACM vector bundles on X by deformation of semistable sheaves. We show that these bundles move in generically smooth components of the corresponding moduli space. We give applications to pfaffian representations of quartic threefolds in P^4 and cubic hypersurfaces of a smooth quadric of P^5.

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Maria Chiara Brambilla, Daniele Faenzi. 2010-01-27. Moduli spaces of rank 2 ACM bundles on prime Fano threefolds. https://arxiv.org/abs/0806.2265

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