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math.AC2002
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…
math.AC2002
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…
math.AC2002
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…