10 citations · 22 across the 15 of their papers we have counts for
9 papers · 1 filter
Quivers and equations a la Plücker for the Hilbert scheme
Laurent Evain, Margherita Roggero
Several moduli spaces parametrizing linear subspaces of the projective space are cut out by linear and quadratic equations in their natural embedding: Grassmannians, Flag varieties…
Bialynicki-Birula schemes in higher dimensional Hilbert schemes of points and monic functors
Laurent Evain, Mathias Lederer
The Bialynicki-Birula strata on the Hilbert scheme are smooth in dimension . We prove that there is a schematic structure in higher dimensions, the Bialyni…
On the equivariant cohomology of Hilbert schemes of points in the plane
Pierre-Emmanuel Chaput, Laurent Evain
Let be the affine plane regarded as a toric variety with an action of the 2-dimensional torus . We study the equivariant Chow ring of the punctual Hilbe…
The Chow ring of punctual Hilbert schemes of toric surfaces
Laurent Evain
Let X be a smooth projective toric surface, and H^d(X) the Hilbert scheme parametrising the length d zero-dimensional subschemes of X. We compute the rational Chow ring A^*(H^d(X))…
On the postulation of s^d fat points in P^d
Laurent Evain
In connection with his counter-example to the fourteenth problem of Hilbert, Nagata formulated a conjecture concerning the postulation of r fat points of the same multiplicity in t…
Computing limit linear series with infinitesimal methods
Laurent Evain
Alexander and Hirschowitz determined the Hilbert function of a generic union of fat points in a projective space when the number of fat points is much bigger than the greatest mult…