arXiv subjects

Samuel Boissiere

Publications and source records attributed to Samuel Boissiere.

20 records · Page 2Linked to original sources

arXiv2005

Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane

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 the existence and the structure of universal formulas for the Chern classes of the tangent bundle over the Hilbert scheme of points on a projective surface. The second tool leads then to nice generating formulas in the particular case of the Hilbert scheme of points on the affine plane.

math.AG↗

arXiv2004

On the McKay correspondences for the Hilbert scheme of points on the affine plane

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 correspondence relates the geometry of nice resolutions of singularities and the representations of the group. For the Hilbert scheme of points on the affine plane, we study how different correspondences (McKay, dual McKay and multiplicative McKay) are related to each other.

math.AG↗