20 citations · 35 across the 19 of their papers we have counts for
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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…
On rings with small Hilbert-Kunz multiplicity
Manuel Blickle, Florian Enescu
A result of Watanabe and Yoshida says that an unmixed local ring of positive characteristic is regular if and only if its Hilbert-Kunz multiplicity is one. We show that, for fixed…
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…