5 papers · 1 filter
Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces
Samuel Boissiere, Marc A. Nieper-Wisskirchen
This article can be seen as a sequel to the first author's article ``Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane'', where he calculates…
Contraction of excess fibres between the McKay correspondences in dimensions two and three
Samuel Boissiere, Alessandra Sarti
The quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as…
Towards the multiplicative behavior of the K-theoretical McKay correspondence
Samuel Boissiere
When the quotient of a symplectic vector space by the action of a finite subgroup of symplectic automorphisms admits as a crepant projective resolution of singularities the Hilbert…
On the McKay correspondences for the Hilbert scheme of points on the affine plane
Samuel Boissiere
The quotient of a finite-dimensional vector space by the action of a finite subgroup of automorphisms is usually a singular variety. Under appropriate assumptions, the McKay corres…
Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane
Samuel Boissiere
The cohomology of the Hilbert schemes of points on smooth projective surfaces can be approached both with vertex algebra tools and equivariant tools. Using the first tool, we study…