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Dwork cohomology and algebraic ${\Cal D}$-modules

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Abstract.

Using local cohomology and algebraic \({\Cal D}\)-Modules, we generalize a comparison theorem between relative de Rham cohomology and Dwork cohomology due to N. Katz, P. Monsky, A. Adolphson and S. Sperber.

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Authors and Affiliations

  1. Mathématiques pures, Université Bordeaux I, 33405 Talence Cedex, France (e-mail: {dimca,maaref}@math.u-bordeaux.fr), , , , , , FR

    Alexandru Dimca & Fayçal Maaref

  2. UMR 7640 du CNRS, Centre de Mathématiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France (e-mail: sabbah@math.polytechnique.fr), , , , , , FR

    Claude Sabbah

  3. RIMS Kyoto Univ., Kyoto 606-8502 Japan (e-mail: msaito@kurims.kyoto-u.ac.jp), , , , , , JP

    Morihiko Saito

Authors
  1. Alexandru Dimca
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  2. Fayçal Maaref
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  3. Claude Sabbah
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  4. Morihiko Saito
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Received June 10, 1999 / Published online July 20, 2000

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Dimca, A., Maaref, F., Sabbah, C. et al. Dwork cohomology and algebraic ${\Cal D}$-modules. Math Ann 318, 107–125 (2000). https://doi.org/10.1007/s002080000113

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  • DOI: https://doi.org/10.1007/s002080000113

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