The intersection homology D–module in finite characteristic

By Manuel Blickle. 2001

62 citations recorded by the source corpus.

For Y a closed normal subvariety of codimension c of a smooth ℂ–variety X, Brylinski and Kashiwara showed that the local cohomology module ℋcY(X,X) contains a unique simple X–submodule, denoted by (Y,X). In this paper the analogous result is shown for X and Y defined over a perfect field of finite characteristic. Moreover, a local construction of (Y, X) is given, relating it to the theory of tight closure. From the construction one obtains a criterion for the X–simplicity of ℋcY(X,X).

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/42eef920fe978a3fae047c6a29e30bee27732ddd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Manuel Blickle
2. Mircea Mustactva
3. Karen E. Smith
4. Gebhard Bckle
5. Karl Schwede
6. S. Takagi
7. M. Mustaţă
8. Kevin Tucker

In Geometry and Topology

1. Manuel Blickle
2. Mircea Mustactva
3. Karen E. Smith
4. Gebhard Bckle
5. Karl Schwede
6. S. Takagi
7. Kevin Tucker
8. M. Mustaţă

In Mathematical Physics

1. Mircea Mustactva
2. Karen E. Smith
3. Gebhard Bckle
4. Manuel Blickle

Citations in the corpus

• Cartier modules: Finiteness results (2009, background): “Important examples are the local cohomology modules: The study of their natural Frobenius action has lead to deep structural results [21], [19], [27] which are important for the study of singularities, amongst other things [31], [32], [16], [3], [6].”
• F-thresholds of hypersurfaces (2007, methodology): “For details we refer to [Lyu] or [ Bli ]. Since R is an F-finite regular ring, the ring of differential operators DR ⊆ EndFp(R) admits the following description.”