Moduli spaces of rank 2 ACM bundles on prime Fano threefolds

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.

arXiv comment28 pages; revised version, submitted to Michigan Mathematical Journal

References in corpus (2)

• The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold
• ACM vector bundles on prime Fano threefolds and complete intersection Calabi Yau threefolds