219 citations
- East China Normal UniversityCN4 papers
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4 papers · 1 filter
Core and residual intersections of ideals
Alberto Corso, Claudia Polini, Bernd Ulrich
D. Rees and J. Sally defined the core of an -ideal as the intersection of all minimal reductions of . However, it is not easy to give an explicit characterization o…
The structure of the core of ideals
Alberto Corso, Claudia Polini, Bernd Ulrich
The core of an -ideal is the intersection of all reductions of . This object was introduced by D. Rees and J. Sally and later studied by C. Huneke and I. Swanson, who sho…
On residually S_2 ideals and projective dimension one modules
Alberto Corso, Claudia Polini
We prove that certain modules are faithful. This enables us to draw consequences about the reduction number and the integral closure of some classes of ideals.
Strongly Cohen-Macaulay ideals of small second analytic deviation
Alberto Corso, Claudia Polini
We characterize the strongly Cohen-Macaulay ideals of second analytic deviation one in terms of depth properties of the powers of the ideal in the `standard range.' This provides a…