2 citations · 3 across the 3 of their papers we have counts for
6 papers
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…
Compactification of configuration spaces via Hilbert schemes
Laurent Evain
Let F(X,n):= X^n-Δbe the complementary of the union Δof the diagonals of X^n and let U be a quotient of F(X,n) (possibly trivial) by a subgroup of the symmetric group S_n. We const…
Irreducible components of the equivariant punctual Hilbert schemes
Laurent Evain
Let H_{ab} be the equivariant Hilbert scheme parametrizing the 0-dimensional subschemes of the affine plane invariant under the natural action of the one-dimensional torus T_{ab}:=…
Incidence relations among the Schubert cells of equivariant Hilbert Schemes
Laurent Evain
Let HH_{ab}(H) be the equivariant Hilbert scheme parametrizing the zero dimensional subschemes of the affine plane k^2, fixed under the one dimensional torus T_{ab}={(t^{-b},t^a),…