82 citations
- Harvard UniversityUS3 papers
- Brookhaven National LaboratoryUS2 papers
- Georgia State UniversityUS2 papers
- Michigan State UniversityUS2 papers
- Purdue University West LafayetteUS2 papers
- University of ArizonaUS2 papers
- University of Illinois Urbana-ChampaignUS2 papers
- Balseiro InstituteAR1 paper
- Brown UniversityUS1 paper
- Chinese Academy of SciencesCN1 paper
- Freie Universität BerlinDE1 paper
- Indiana University BloomingtonUS1 paper
6 papers · 1 filter
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…
p-torsion elements in local cohomology modules
Anurag K. Singh
We construct an example where a local cohomology module of a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prime id…
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…
Multi-symbolic Rees algebras and strong F-regularity
Anurag K. Singh
Let I be a divisorial ideal of a strongly F-regular ring R. Watanabe asked if the symbolic Rees algebra R_s(I) is Cohen-Macaulay whenever it is Noetherian. We develop the notion of…
Cyclic covers of rings with rational singularities
Anurag K. Singh
We examine some recent work of Phillip Griffith on étale covers and fibered products from the point of view of tight closure theory. While it is known that cyclic covers of Gorenst…