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

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dc.creatorConca, Aldo
dc.creatorValla, Giuseppe
dc.date2007-08-27
dc.date.accessioned2026-07-07T08:25:51Z
dc.date.available2026-07-07T08:25:51Z
dc.descriptionAn 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.
dc.identifierhttps://arxiv.org/abs/0708.3576
dc.identifierhttp://arxiv.org/abs/0708.3576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136756
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13P10, 14C05
dc.titleCanonical Hilbert-Burch matrices for ideals of $k[x,y]$
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