Mathematics – Algebraic Geometry
Scientific paper
2003-08-22
Mathematics
Algebraic Geometry
17 pages, to appear in Journal of Algebra
Scientific paper
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.
Budur Nero
Casanellas Marta
Gorla Elisa
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