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On direct and inverse images ofD-modules in prime characteristic

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Abstract

Letf:X→Y be a morphism of smooth varieties over an algebraically closed fieldK. IfK=C (or more generallyChar(K)=0) there are well defined and well known functors of direct and inverse images on the category of left resp. rightD-modules as described e. g. in the first chapter of Hotta's book [8]. We generalize these constructions to the caseChar(K)=p>0 roughly following the concept of [8, Chap. 1] using characteristic-p-methods. Finally we prove Kashiwara's equivalence in characteristicp.

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  1. Mathematisches Institut der Universität, Rheinsprung 21, CH-4051, Basel, Switzerland

    Burkhard Haastert

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  1. Burkhard Haastert
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Haastert, B. On direct and inverse images ofD-modules in prime characteristic. Manuscripta Math 62, 341–354 (1988). https://doi.org/10.1007/BF01246838

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