43 citations · 48 across the 14 of their papers we have counts for
8 papers · 1 filter
Liaison and Castelnuovo-Mumford regularity
Marc Chardin, Bernd Ulrich
In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations. The main new ingredient in our…
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…
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…
What is the Rees Algebra of a Module?
David Eisenbud, Craig Huneke, Bernd Ulrich
In this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a modul…
A Simple Proof of some Generalized Principal Ideal Theorems
David Eisenbud, Craig Huneke, Bernd Ulrich
Using symmetric algebras we simplify (and slightly strengthen) the Bruns-Eisenbud-Evans "generalized principal ideal theorem" on the height of order ideals of non-minimal generator…