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Degenerating the Jacobian: the Néron Model versus Stable Sheaves
N´ eron model stable sheaf compactified Jacobians relative Picard functor
2011/1/21
We provide sufficient conditions for the line bundle locus in a family of compact moduli spaces of pure sheaves to be isomorphic to the N´eron model. The result applies to moduli spaces construc...
The Betti numbers of the moduli space of stable sheaves of rank 3 on P2
sheaves moduli spaces
2010/12/2
This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on P2 and its blow-up ~P2. Wall-crossing is used to obtain the Betti numbers on ~P2....