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MiS Preprint

Canonical Hilbert-Burch matrices for power series

Roser Homs Pons and Anna-Lena Winz


We give a parametrization of zero-dimensional ideals in the power series ring $k[[x,y]]$ with a given leading term ideal with respect to local lex ordering in terms of certain canonical Hilbert-Burch matrices. This is an extension to the local setting of the parametrizations of Gröbner cells obtained in the polynomial ring $k[x,y]$ by Conca and Valla for lex ordering and Constantinescu for deglex.

Apr 14, 2020
Apr 17, 2020
MSC Codes:
13D02, 14C05
Hilbert-Burch matrices, Gröbner cells, local ordering

Related publications

2021 Repository Open Access
Roser Homs and Anna-Lena Winz

Canonical Hilbert-Burch matrices for power series

In: Journal of algebra, 583 (2021), pp. 1-24