Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
In this paper we show how to combine different techniques from Commutative Algebra and a systematic use of a Computer Algebra System (in our case mainly CoCoA) in order to explicitly construct Cohen-Macaulay domains, which are standard -algebras and whose Hilbert function is ``bad". In particular we disprove a well-known conjecture by Hibi.
Cite
@article{arxiv.alg-geom/9202020,
title = {Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions},
author = {G. Niesi and L. Robbiano},
journal= {arXiv preprint arXiv:alg-geom/9202020},
year = {2008}
}
Comments
10 pages, plain TeX