Mario González-Sánchez

collaborators

5 papers

math.AC2026

KW Semigroups -- Their Betti Numbers, ApÃ©ry Posets and Tangent Cones

Mario GonzÃ¡lez-SÃ¡nchez, Hema Srinivasan

Let p<q be coprime integers. Kunz-Waldi semigroups are numerical semigroups containing p and q and contained in <p,q,r>, where 2r=p,q,p+q whichever is even. In this paper, we prove…

math.AC2026

Castelnuovo-Mumford regularity of toric varieties with at most one singular point

Ignacio GarcÃa-Marco, Philippe Gimenez, Mario GonzÃ¡lez-SÃ¡nchez

We establish upper bounds for the Castelnuovo--Mumford regularity of the coordinate ring of a simplicial projective toric variety with at most one singular point. In the smooth cas…

math.AC2025

Computational Aspects of the Short Resolution

Ignacio GarcÃa-Marco, Philippe Gimenez, Mario GonzÃ¡lez-SÃ¡nchez

Let $R := k [x_{1}, \dots, x_{n}]$ be a polynomial ring over a field $k$ , $I \subset R$ be a homogeneous ideal with respect to a weight vector $Ï= (Ï_1,\ldots,Ï_n) \in (\math…

math.AC2025

The Betti Numbers of Kunz-Waldi Semigroups

Mario GonzÃ¡lez-SÃ¡nchez, Srishti Singh, Hema Srinivasan

Given two coprime numbers $p < q$ , KW semigroups contain $p, q$ and are contained in $⟨ p, q, r ⟩$ where $2 r = p, q, p + q$ whichever is even. These semigroups were first introd…

math.AC2025

Proyective Cohen-Macaulay monomial curves and their affine charts

Ignacio GarcÃa-Marco, Philippe Gimenez, Mario GonzÃ¡lez-SÃ¡nchez

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 $k$ and…