Mario González-Sánchez

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20232026

most citedCastelnuovo-Mumford regularity of projective monomial curves via sumsets

2 citations · 2 across the 6 of their papers we have counts for

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math.AC2026

KW Semigroups -- Their Betti Numbers, Apéry Posets and Tangent Cones

Mario González-Sánchez, 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 García-Marco, Philippe Gimenez, Mario González-Sánchez

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 García-Marco, Philippe Gimenez, Mario González-Sánchez

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 $ω= (ω_1,\ldots,ω_n) \in (\mathbb{…

math.AC2025

The Betti Numbers of Kunz-Waldi Semigroups

Mario González-Sánchez, 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.AC2024

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 $k$ and…

math.AC2023★ 2 cited

Castelnuovo-Mumford regularity of projective monomial curves via sumsets

Philippe Gimenez, Mario González-Sánchez

Let $A = {a_{0}, \dots, a_{n - 1}}$ be a finite set of $n \geq 4$ non-negative relatively prime integers such that $0 = a_{0} < a_{1} < \dots < a_{n - 1} = d$ . The $s$ -fold sumset of $A$ is the set $sA…