Moduli of reflexive sheaves on smooth projective 3-folds |
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Authors: | Peter Vermeire |
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Affiliation: | Department of Mathematics, 214 Pearce, Central Michigan University, Mount Pleasant, MI 48859, United States |
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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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Keywords: | 14F05 14D20 14J60 |
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