Moduli spaces of rank 2 ACM bundles on prime Fano threefolds

Details Moduli spaces of rank 2 ACM bundles on prime Fano threefolds Moduli spaces of rank 2 ACM bundles on prime Fano threefolds

2008-06-13

arxiv.org/abs/0806.2265v2

Michigan Mathematical Journal, 60 (2011), 113-148

Mathematics

Algebraic Geometry

28 pages; revised version, submitted to Michigan Mathematical Journal

Scientific paper

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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