7 papers · 1 filter
Normalization of Ideals and Briancon-Skoda Numbers
Claudia Polini, Bernd Ulrich, Wolmer V. Vasconcelos
We establish bounds for the coefficient of the Hilbert function of the integral closure filtration of equimultiple ideals. These values are shown to help control all…
Integral closure of ideals and annihilators of homology
Alberto Corso, Craig Huneke, Daniel Katz +1
This article outgrew from an effort to understand our basic question: Are the annihilators of the non-zero Koszul homology modules of an unmixed ideal contained in the in…
Multiplicity of the special fiber of blowups
Alberto Corso, Claudia Polini, Wolmer V. Vasconcelos
Let be a Noetherian local ring and let be an -primary ideal. In this paper we give sharp bounds on the multiplicity of the special fiber rin…
On the integral closure of ideals
Alberto Corso, Craig Huneke, Wolmer V. Vasconcelos
Among the several types of closures of an ideal that have been defined and studied in the past decades, the integral closure has a central place being one of the earl…
Generic Gaussian ideals
Alberto Corso, Wolmer V. Vasconcelos, Rafael Villarreal
The content of a polynomial is the ideal generated by its coefficients. Our aim here is to consider a beautiful formula of Dedekind-Mertens on the content of the product of…
Links of prime ideals
Alberto Corso, Claudia Polini, Wolmer V. Vasconcelos
We exhibit the elementary but somewhat surprising property that most direct links of prime ideals in Gorenstein rings are equimultiple ideals. It leads to the construction of a bou…