Dwork Cohomology and Algebraic D-Modules

1999/06/11 by A. Dimca, F. Maaref, C. Sabbah +1
Mathematics · #math.AG #msc:32S40

paper · pdf

published as Math. Ann. 318 (2000), 107-125 · AMSTeX v2.1, 18 pages

arxiv created 1999/06/11 · arxiv updated 2009/11/30

Abstract

Using local cohomology and algebraic D-Modules, we generalize a comparison theorem between relative de Rham cohomology and Dwork cohomology due to N. Katz, A. Adolphson and S. Sperber.

Related

• Dwork cohomology, de Rham cohomology, and hypergeometric functions
• Exponentially twisted de Rham cohomology and rigid cohomology
• Exponential sums and rigid cohomology
• Comparison of prismatic cohomology and derived de Rham cohomology
• Integral p-adic Hodge theory