The cones of Hilbert functions of squarefree modules
Commutative Algebra
2012-01-05 v1
Abstract
In this paper, we study different generalizations of the notion of squarefreeness for ideals to the more general case of modules. We describe the cones of Hilbert functions for squarefree modules in general and those generated in degree zero. We give their extremal rays and defining inequalities. For squarefree modules generated in degree zero, we compare the defining inequalities of that cone with the classical Kruskal-Katona bound, also asymptotically.
Keywords
Cite
@article{arxiv.1201.0896,
title = {The cones of Hilbert functions of squarefree modules},
author = {Cristina Bertone and Dang Hop Nguyen and Kathrin Vorwerk},
journal= {arXiv preprint arXiv:1201.0896},
year = {2012}
}
Comments
17 pages, 2 figures. This paper was produced during Pragmatic 2011