Paolo Mantero

collaborators

2 papers

math.AC2024

The Structure of Symbolic Powers of Matroids

Paolo Mantero, Vinh Nguyen

We describe the structure of the symbolic powers $I^{(ℓ)}$ of the Stanley-Reisner ideals, and cover ideals, $I$ , of matroids. We (a) prove a structure theorem describing a minim…

math.AC2014

Arithmetical rank of strings and cycles

Kyouko Kimura, Paolo Mantero

Let $R$ be a polynomial ring over a field $K$ . To a given squarefree monomial ideal $I \subset R$ , one can associate a hypergraph $H (I)$ . In this article, we prove that the arithme…