Given a virtually smooth quasi-projective scheme \(M\), and a morphism from \(M\) to a nonsingular quasi-projective variety \(B\), we show it is possible to find an affine bundle \(M'/ M\) that admits a perfect obstruction theory relative to \(B\). We study the resulting virtual cycles on the fibers of \(M'/B\) and relate them to the image of the virtual cycle \([M]^{vir}\) under refined Gysin homomorphisms. Our main application is when \(M\) is a moduli space of stable codimension 1 sheaves on a nonsingular projective surface or Fano threefold.Non UBCUnreviewedAuthor affiliation: University of MarylandFacult
Let X/S be a quasi-projective morphism over an affine base. We develop in this article a technique f...
International audienceSome coherent sheaves on projective varieties have a non reduced versal deform...
AbstractWe study obstructions to a direct limit preserving right exact functor F between categories ...
We express nested Hilbert schemes of points and curves ona smooth projective surface as “virtual res...
We work on a projective threefold $X$ which satisfies the Bogomolov-Giesekerconjecture of Bayer-Macr...
AbstractWe compute the expected dimension of the moduli space of torsion-free rank 2 sheaves at a po...
Moduli spaces of stable sheaves on smooth projective surfaces are in general singular. Nonetheless, ...
We show that the Quot scheme QuotA3(Or, n) admits a symmetric obstruction theory, and we compute its...
Abstract. We compute the expected dimension of the moduli space of torsion-free rank 2 sheaves at a ...
We prove a blow-up formula for the generating series of virtual $\chi_y$-genera for moduli spaces of...
The main result of the present paper is a construction of relative modulispaces of stable sheaves ov...
Abstract. This paper concerns curves on noncommutative schemes, hereafter called quasi-schemes. A qu...
Let f : X→C be a proper surjective morphism from a non-singular projective variety onto a non-singul...
We find some equivalences of the derived category of coherent sheaves on a Gorenstein genus one curv...
Quot schemes are fundamental objects in the moduli theory of algebraic geometry. Quot schemes of sur...
Let X/S be a quasi-projective morphism over an affine base. We develop in this article a technique f...
International audienceSome coherent sheaves on projective varieties have a non reduced versal deform...
AbstractWe study obstructions to a direct limit preserving right exact functor F between categories ...
We express nested Hilbert schemes of points and curves ona smooth projective surface as “virtual res...
We work on a projective threefold $X$ which satisfies the Bogomolov-Giesekerconjecture of Bayer-Macr...
AbstractWe compute the expected dimension of the moduli space of torsion-free rank 2 sheaves at a po...
Moduli spaces of stable sheaves on smooth projective surfaces are in general singular. Nonetheless, ...
We show that the Quot scheme QuotA3(Or, n) admits a symmetric obstruction theory, and we compute its...
Abstract. We compute the expected dimension of the moduli space of torsion-free rank 2 sheaves at a ...
We prove a blow-up formula for the generating series of virtual $\chi_y$-genera for moduli spaces of...
The main result of the present paper is a construction of relative modulispaces of stable sheaves ov...
Abstract. This paper concerns curves on noncommutative schemes, hereafter called quasi-schemes. A qu...
Let f : X→C be a proper surjective morphism from a non-singular projective variety onto a non-singul...
We find some equivalences of the derived category of coherent sheaves on a Gorenstein genus one curv...
Quot schemes are fundamental objects in the moduli theory of algebraic geometry. Quot schemes of sur...
Let X/S be a quasi-projective morphism over an affine base. We develop in this article a technique f...
International audienceSome coherent sheaves on projective varieties have a non reduced versal deform...
AbstractWe study obstructions to a direct limit preserving right exact functor F between categories ...