On Dwork cohomology and algebraic D-modules

Details On Dwork cohomology and algebraic D-modules On Dwork cohomology and algebraic D-modules

2003-04-28

arxiv.org/abs/math/0304445v2

in "Geometric Aspects of Dwork's Theory", Vol. I, de Gruyter, 2004, pp. 245--253

Mathematics

Algebraic Geometry

latex, 8 pages

Scientific paper

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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