30 citations · 165 across the 29 of their papers we have counts for
33 papers · 1 filter
-Equivariant Hilbert Schemes and Quadratic Forms
Samuel Jay Bachhuber, Amin Gholampour
For a finite abelian group acting linearly on the plane let be the associated quotient stack. We analyze a fine moduli space which parameterizes zero dimensional…
Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces
Emilio Dominguez, Amin Gholampour
Given a 3-term perfect complex E over a quasi-projective variety X and a nonnegative integer r, we define two virtual cycles and their refinements supported over the r-th degenerac…
A virtual - correspondence for projective surfaces
D. van Bree, A. Gholampour, Y. Jiang +1
For a smooth projective surface satisfying and , we study deformation invariants of the pair . Choosing a Brauer-Severi variety…
Stable pairs of 2-dimensional sheaves on 4-folds
Amin Gholampour, Yunfeng Jiang, Jason Lo
We identify Le Potier's moduli spaces of limit stable pairs , where is a 2-dimensional sheaf on a nonsingular projective 4-fold and , with the moduli s…
Counting stable sheaves on singular curves and surfaces
Amin Gholampour
Given a quasi-projective scheme M over complex numbers equipped with a perfect obstruction theory and a morphism to a nonsingular quasi-projective variety B, we show it is possible…
Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes
Amin Gholampour, Artan Sheshmani
We study certain DT invariants arising from stable coherent sheaves in a nonsingular projective threefold supported on the members of a linear system of a fixed line bundle. When t…