%0 Journal Article
%T The cone of Hilbert functions in the non-standard graded case
%A Daniel Brinkmann
%A Marianne Merz
%J Le Matematiche
%D 2012
%I University of Catania
%X We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.
%K Artinian modules
%K Cone of hilbert functions
%K Graded rings and modules
%K Lex-segment ideals
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/951