An Artinian ideal of in a 2-dimensional polynomial ring 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 Stromme, Gottsche and Iarrobino.

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

CONCA, ALDO;VALLA, GIUSEPPE
2008-01-01

Abstract

An Artinian ideal of in a 2-dimensional polynomial ring 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 Stromme, Gottsche and Iarrobino.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/249195
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