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.
Original language | English |
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Pages (from-to) | 622-632 |
Number of pages | 11 |
Journal | Journal of Pure and Applied Algebra |
Volume | 211 |
Issue number | 3 |
DOIs | |
State | Published - Dec 2007 |