Rafael H. Villarreal

activity

20192026

collaborators

3 papers

math.AC2026

On the regularity index of the minimum distance function in projective nested Cartesian codes

Cicero Carvalho, Maria Vaz Pinto, Rafael H. Villarreal

Let $X$ be a projective nested product of fields and let $δ_{X} (d)$ be the minimum distance in degree $d \geq 1$ of the projective nested Cartesian code $C_{X} (d)$ . The regularity index…

math.AC2024

Symbolic powers: Simis and weighted monomial ideals

Fernando O. Méndez, Maria Vaz Pinto, Rafael H. Villarreal

The aim of this work is to compare symbolic and ordinary powers of monomial ideals using commutative algebra and combinatorics. Monomial ideals whose symbolic and ordinary powers c…

math.AC2019

Joins, Ears and Castelnuovo-Mumford regularity

Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal

We introduce a new class of polynomial ideals associated to a simple graph, $G$ . Let $K [E_{G}]$ be the polynomial ring on the edges of $G$ and $K [V_{G}]$ the polynomial ring on the ver…