The Cone of Hilbert Functions in the non-standard graded Case
Commutative Algebra
2012-01-30 v2
Abstract
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.
Cite
@article{arxiv.1201.1555,
title = {The Cone of Hilbert Functions in the non-standard graded Case},
author = {Daniel Brinkmann and Marianne Merz},
journal= {arXiv preprint arXiv:1201.1555},
year = {2012}
}
Comments
14 pages, 14 figures. This paper was produced during Pragmatic 2011, v2: minor corrections