Classification of Maximal Rank Curves in the Liasion Class Ln.
Families of reduced zero-dimensional schemes.
A great deal of recent activity has centered on the question of whether, for a given Hilbert function, there can fail to be a unique minimum set of graded Betti numbers, and this is closely related to the question of whether the associated Hilbert scheme is irreducible or not. We give a broad class of Hilbert functions for which we show that there is no minimum, and hence that the associated Hilbert sheme is reducible. Furthermore, we show that the Weak Lefschetz Property holds for the general element...
Classifying Hilbert functions of fat point subschemes in P^2.
On the Cohen-Macauly type of the general hypersurface section of a curve.
The Lazarfeld-Rao property on an arithmetically Gorenstein variety.
The Lazarsfeld-Rao problem for Buchsbaum curves
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