Hilbert functions and geometry
Algebraic Geometry
2007-05-23 v2 Commutative Algebra
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 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.
Cite
@article{arxiv.math/0404138,
title = {Hilbert functions and geometry},
author = {Fabre Bruno},
journal= {arXiv preprint arXiv:math/0404138},
year = {2007}
}
Comments
26 pages, in French, corrected typos