Mathematics – Commutative Algebra
Scientific paper
2007-08-27
Mathematics
Commutative Algebra
Scientific paper
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 Gr\"obner cells and their Betti strata recovering results of
Ellingsrud and Str{\o}mme, G\"ottsche and Iarrobino.
Conca Aldo
Valla Giuseppe
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