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On Dwork cohomology and algebraic D-modules

Francesco Baldassarri·Andrea D'Agnolo
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Abstract

After works by Katz, Monsky, and Adolphson-Sperber, a comparison theorem between relative de Rham cohomology and Dwork cohomology is established in a paper by Dimca-Maaref-Sabbah-Saito in the framework of algebraic D-modules. We propose here an alternative proof of this result. The use of Fourier transform techniques makes our approach more functorial.

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Francesco Baldassarri, Andrea D'Agnolo. 2003-07-30. On Dwork cohomology and algebraic D-modules. https://doi.org/10.1515/9783110198133.1.245

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