Gonzalo Grisalde

most citedRees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals

8 citations · 13 across the 2 of their papers we have counts for

collaborators

3 papers

math.AC2021★ 5 cited

Normally torsion-free edge ideals of weighted oriented graphs

Gonzalo Grisalde, Jose Martinez-Bernal, Rafael H. Villarreal

Let $I = I (D)$ be the edge ideal of a weighted oriented graph $D$ , let $G$ be the underlying graph of $D$ , and let $I^{(n)}$ be the $n$ -th symbolic power of $I$ defined using the min…

math.AC2021

Induced matchings and the v-number of graded ideals

Gonzalo Grisalde, Enrique Reyes, Rafael H. Villarreal

We give a formula for the v-number of a graded ideal that can be used to compute this number. Then we show that for the edge ideal $I (G)$ of a graph $G$ the induced matching number…

math.AC2021★ 8 cited

Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals

Gonzalo Grisalde, Alexandra Seceleanu, Rafael H. Villarreal

The aims of this work are to study Rees algebras of filtrations of monomial ideals associated to covering polyhedra of rational matrices with non-negative entries and non-zero colu…