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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/249195
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 10
social impact