The Intersection Homology D–module in Finite Characteristic
نویسنده
چکیده
For Y a closed normal subvariety of codimension c of a smooth C–variety X, Brylinski and Kashiwara showed in [BK81] that the local cohomology module HcY (X,OX) contains a unique simple DX– submodule, denoted by L(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 L(Y,X) is given, relating it to the theory of tight closure. From the construction one obtains a criterion for the DX–simplicity of H c Y (X).
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