2004/04/06 by Fabre Bruno, Bruno, Fabre
Mathematics · #13A02 #14C20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13A02 #msc:14C20
paper · pdf · doi:10.48550/arxiv.math/0404138
26 pages, in French, corrected typos
arxiv created 2004/04/13 · arxiv updated 2009/12/01
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.