43 citations · 48 across the 14 of their papers we have counts for
14 papers
Normalization of Ideals and Briancon-Skoda Numbers
Claudia Polini, Bernd Ulrich, Wolmer V. Vasconcelos
We establish bounds for the coefficient of the Hilbert function of the integral closure filtration of equimultiple ideals. These values are shown to help control all…
Codimension and connectedness of degeneracy loci over local rings
Hubert Flenner, Bernd Ulrich
We deduce results on the dimension and connectedness of degeneracy loci of maps of finite modules over a local noetherian ring . We show for instance…
A formula for the core of an ideal
Claudia Polini, Bernd Ulrich
The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and…
The Gorenstein and complete intersection properties of associated graded rings
William Heinzer, Mee-Kyoung Kim, Bernd Ulrich
Let I be an m-primary ideal of a Noetherian local ring (R,m). We consider the Gorenstein and complete intersection properties of the associated graded ring G(I) and the fiber cone…
The Regularity of Tor and Graded Betti Numbers
David Eisenbud, Craig Huneke, Bernd Ulrich
Let S=K[x_1,..., x_n], let A,B be finitely generated graded S-modules, and let m=(x_1,...,x_n). We give bounds for the Castelnuovo-Mumford regularity of the local cohomology of Tor…
Cohen-Macaulayness of special fiber rings
Alberto Corso, Laura Ghezzi, Claudia Polini +1
Let be a Noetherian local ring and let be an -ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayne…