4 papers · 1 filter
On the minimum number of Toeplitz factors of a matrix
Ignacio García-Marco, Irene Márquez-Corbella, Daniel Seco
We disprove a conjecture by Ye and Lim, by showing that there are complex matrices which can't be expressed as the product of two Toeplitz matrices of the same size. W…
Computational Aspects of the Short Resolution
Ignacio García-Marco, Philippe Gimenez, Mario González-Sánchez
Let be a polynomial ring over a field , be a homogeneous ideal with respect to a weight vector $ω= (ω_1,\ldots,ω_n) \in (\mathbb{…
Toric ideals of graphs minimally generated by a Gröbner basis
Ignacio García-Marco, Irene Márquez-Corbella, Christos Tatakis
Describing families of ideals that are minimally generated by at least one, or by all, of their reduced Gröbner bases is a central topic in commutative algebra. In this paper, we a…
Proyective Cohen-Macaulay monomial curves and their affine charts
Ignacio García-Marco, Philippe Gimenez, Mario González-Sánchez
In this paper, we explore when the Betti numbers of the coordinate rings of a projective monomial curve and one of its affine charts are identical. Given an infinite field and…