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math.AG2005★ 2 cited
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))…
math.AG2004★ 1 cited
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…
math.AG2004
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…