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Abstract: An Artinian ideal $I$ of $kx,y$ has many Hilbert-Burch matrices. We showthat there is a canonical choice. As an application, we determine the dimensionof certain affine Gr\-obner cells and their Betti strata recovering results ofEllingsrud and Str{\o}mme, G\-ottsche and Iarrobino.



Autor: Aldo Conca, Giuseppe Valla

Fuente: https://arxiv.org/







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