2 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
When does the F-signature exist?
Ian M. Aberbach, Florian Enescu
We show that the F-signature of an F-finite local ring R of characteristic p >0 exists when R is either the localization of an -graded ring at its irrelevant ideal or $…
On the upper semi-continuity of the Hilbert-Kunz multiplicity
Florian Enescu, Kazuma Shimomoto
We show that the Hilbert-Kunz multiplicity of a -dimensional nonregular complete intersection over the algebraic closure of , prime, is bounded by below by the Hilber…
The Structure of F-Pure Rings
Ian M. Aberbach, Florian Enescu
For a reduced F-finite ring R of characteristic p >0 and q=p^e one can write R^{1/q} = R^{a_q} \oplus M_q, where M_q has no free direct summands over R. We investigate the structur…
An inequality involving tight closure and parameter ideals
Catalin Ciuperca, Florian Enescu
We establish an inequality involving colengths of the tight closure of ideals of systems of parameters in local rings with some mild conditions. As an application, we prove and ref…
Strong test modules and multiplier ideals
Florian Enescu
We introduce the notion of strong test module and show that a large number of such modules appear in the tight closure theory of complete domains: the test ideal (this has already…
Test ideals and flat base change problems in tight closure theory
Ian M. Aberbach, Florian Enescu
Test ideals are an important concept in tight closure theory and their behavior via flat base change can be very difficult to understand. Our paper presents results regarding this…