Nero Budur, Marta Casanellas, Elisa Gorla
Published 2003-08-22Version 1
In this paper we compute the Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes that are twisted anti-canonical divisors on arithmetically Cohen-Macaulay schemes. We also prove some folklore results characterizing the Hilbert functions of irreducible standard determinantal schemes, and we use them to produce a new class of functions that occur as Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes in any codimension.
Comments: 17 pages, to appear in Journal of Algebra
Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers
Veronese varieties and Hilbert functions
Hilbert functions and set of points in $\mathbb P^1\times \mathbb P^1$
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