Moduli of Reflexive Sheaves on Smooth Projective 3-folds

Details Moduli of Reflexive Sheaves on Smooth Projective 3-folds Moduli of Reflexive Sheaves on Smooth Projective 3-folds

2005-04-22

arxiv.org/abs/math/0504465v3

Mathematics

Algebraic Geometry

17 pages. Entire paper rewritten - discusses relationship between moduli spaces of reflexive rank 2 sheaves and the Hilbert sc

Scientific paper

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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