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arXiv · 0708.3576

Canonical Hilbert-Burch matrices for ideals of $k[x,y]$

Aldo Conca·Giuseppe Valla
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Abstract

An Artinian ideal $I$ of $k[x,y]$ has many Hilbert-Burch matrices. We show that there is a canonical choice. As an application, we determine the dimension of certain affine Gröbner cells and their Betti strata recovering results of Ellingsrud and Strømme, Göttsche and Iarrobino.

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Aldo Conca, Giuseppe Valla. 2007-08-27. Canonical Hilbert-Burch matrices for ideals of $k[x,y]$. https://arxiv.org/abs/0708.3576

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