43 citations · 45 across the 13 of their papers we have counts for
8 papers · 1 filter
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…
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…
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.