Canonical Hilbert-Burch matrices for ideals of $k[x,y]$
Commutative Algebra
2007-08-28 v1 Algebraic Geometry
Abstract
An Artinian ideal of has many Hilbert-Burch matrices. We show that there is a canonical choice. As an application, we determine the dimension of certain affine Gr\"obner cells and their Betti strata recovering results of Ellingsrud and Str{\o}mme, G\"ottsche and Iarrobino.
Keywords
Cite
@article{arxiv.0708.3576,
title = {Canonical Hilbert-Burch matrices for ideals of $k[x,y]$},
author = {Aldo Conca and Giuseppe Valla},
journal= {arXiv preprint arXiv:0708.3576},
year = {2007}
}