Philippe Gimenez

activity

20232026

most citedEntanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes

6 citations · 6 across the 5 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

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…

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…