On Dwork cohomology and algebraic D-modules

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.

latex, 8 pages

References in corpus (1)

• Dwork Cohomology and Algebraic D-Modules

Cited by in corpus (3)

• Twisted de Rham cohomology, homological definition of the integral and "Physics over a ring"
• Frobenius map on local Calabi-Yau manifolds
• Revisiting Dwork cohomology: Visibility and divisibility of Frobenius eigenvalues in rigid cohomology