arXiv:math/0404138 Abstract

arXiv:math/0404138 [math.AG]Abstract References Reviews Resources

Hilbert functions and geometry

Published 2004-04-06, updated 2004-04-13Version 2

This note is devoted to the study of the links between the Hilbert function of a subscheme X of the projective space, and its geometric properties. We will assume that X is arithmetically Cohen-Macaulay, which allows us to characterize its Hilbert function by a d integers, where d is the degree of X. We study in this context the geometric description of special linear systems of dimension maximal with respect to their degree on projective Gorenstein curves.

Comments: 26 pages, in French, corrected typos

Categories: math.AG, math.AC

Subjects: 14C20, 13A02

Keywords: hilbert function, special linear systems, geometric description, geometric properties, dimension maximal

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