Philippe Gimenez

collaborators

2 papers

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.AC2024

Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers

Philippe Gimenez, Francesc Planas-Vilanova

Let $A$ be a noetherian ring, $I$ an ideal of $A$ and $N \subset M$ finitely generated $A$ -modules. The relation type of $I$ with respect to $M$ , denoted by $rt (I; M)$ , is th…