1 citations · 3 across the 16 of their papers we have counts for
11 papers · 2 filters
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…
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…
A generalized Dedekind-Mertens lemma and its converse
Alberto Corso, William Heinzer, Craig Huneke
We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dime…
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…
Core of projective dimension onemodules
Alberto Corso, Claudia Polini, Bernd Ulrich
The core of a projective dimension one module is computed explicitly in terms of Fitting ideals. In particular, our formula recovers previous work by R. Mohan on integrally closed…
Reduction numbers of links of irreducible varieties
Alberto Corso, Claudia polini
The reductions of an ideal give a natural pathway to the properties of , with the advantage of having fewer generators. In this paper we primarily focus on a conjecture abou…