P. Gimenez

activity

20072026

most citedPolar syzygies in characteristic zero: the monomial case

13 citations · 50 across the 14 of their papers we have counts for

collaborators

18 papers

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.AC2024

Gluing And Splitting of Homogeneous Toric Ideals

Philippe Gimenez, Hema Srinivasan

We show that any two homogeneous affine semigroups can be glued by embedding them suitably in a higher dimensional space. As a consequence, we show that the sum of their homogeneou…

cs.IT2023★ 4 cited

Subfield subcodes of projective Reed-Muller codes

Philippe Gimenez, Diego Ruano, Rodrigo San-José

Explicit bases for the subfield subcodes of projective Reed-Muller codes over the projective plane and their duals are obtained. In particular, we provide a formula for the dimensi…

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…

math.AC2022

On gluing semigroups in $N^{n}$ and the consequences

Philippe Gimenez, Hema Srinivasan

A semigroup $⟨ C ⟩$ in $N^{n}$ is a gluing of $⟨ A ⟩$ and $⟨ B ⟩$ if its finite set of generators $C$ splits into two parts, $C=k_1A\sqcup k…

math.AC2022★ 3 cited

Saturation and vanishing ideals