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Moduli of Reflexive Sheaves on Smooth Projective 3-folds

Peter Vermeire
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Abstract

We compute the expected dimension of the moduli space of torsion-free rank 2 sheaves at a point corresponding to a stable reflexive sheaf and give conditions for the existence of a perfect tangent-obstruction complex on a class of smooth projective threefolds; this class includes Fano and Calabi-Yau threefolds. We also explore both local and global relationships between moduli spaces of reflexive rank 2 sheaves and the Hilbert scheme of curves.

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Peter Vermeire. 2006-08-17. Moduli of Reflexive Sheaves on Smooth Projective 3-folds. https://arxiv.org/abs/math/0504465

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