Using perfectoid algebras we introduce a mixed characteristic analog of the multiplier ideal,
respectively test ideal, from characteristic zero, respectively p> 0 p> 0, in the case of a …

The F-signature of a local ring of prime characteristic is a numerical invariant that detects
many interesting properties. For example, this invariant detects (non) singularity and strong …

Given an ideal in a polynomial ring, we show that the asymptotic resurgence studied by
Guardo, Harbourne, and Van Tuyl can be computed using integral closures. As a …

Full article: Equality of ordinary and symbolic powers of edge ideals of weighted oriented
graphs Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

In this paper we study irreducible representations and symbolic Rees algebras of monomial
ideals. Then we examine edge ideals associated to vertex-weighted oriented graphs. These …

We investigate containment statements between symbolic and ordinary powers and bounds
on the Waldschmidt constant of defining ideals of points in projective spaces. We establish …

This is a survey article featuring some of Wolmer Vasconcelos contributions to commutative
algebra, and explaining how Vasconcelos' work and insights have contributed to the …

Let G be a graph and let I= I (G) be its edge ideal. When G is unicyclic, we give a
decomposition of symbolic powers of I in terms of its ordinary powers. This allows us to …

The aim of this work is to study the v-number of edge ideals of clutters. We relate the v-
number with the regularity of edge ideals and classify W 2 graphs. If the edge ideal of a …

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