43 citations · 45 across the 13 of their papers we have counts for
13 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…
A formula for the core of an ideal
Claudia Polini, Bernd Ulrich
The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and…
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…
Depth of associated graded rings via Hilbert coefficients of ideals
Alberto Corso, Claudia Polini, Maria Evelina Rossi
Given a local Cohen-Macaulay ring , we study the interplay between the integral closedness -- or even the normality -- of an -primary -ideal $…
Cohen-Macaulayness of special fiber rings
Alberto Corso, Laura Ghezzi, Claudia Polini +1
Let be a Noetherian local ring and let be an -ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayne…
Sally modules and associated graded rings
Alberto Corso, Claudia Polini, Maria Vaz Pinto
We study the depth properties of the associated graded ring of an m-primary ideal I in terms of numerical data attached to the ideal I. We also find bounds on the Hilbert coefficie…