Hilbert functions and geometry
Abstract
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 CohenMacaulay, 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0404138
 Bibcode:
 2004math......4138B
 Keywords:

 Algebraic Geometry;
 Commutative Algebra;
 14C20;
 13A02
 EPrint:
 26 pages, in French, corrected typos