The cone of Hilbert functions in the non-standard graded case

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.<br /><br />

Bibliographic Details
Main Authors: Daniel Brinkmann, Marianne Merz
Format: Article
Language:English
Published: Università degli Studi di Catania 2012-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/951