Exponentially twisted de Rham cohomology and rigid cohomology

TL;DR

This paper establishes a comparison theorem linking exponentially twisted de Rham cohomology with rigid cohomology using Dwork crystals, advancing the understanding of p-adic cohomological theories.

Contribution

It introduces a new comparison theorem connecting two important cohomological theories in algebraic geometry involving Dwork crystals.

Findings

Proved a comparison theorem between twisted de Rham and rigid cohomology.

Established a new link involving Dwork crystals.

Enhanced the theoretical framework of p-adic cohomology.

Abstract

We prove a comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal.