3 papers
math.AG1999
Dwork Cohomology and Algebraic D-Modules
A. Dimca, F. Maaref, C. Sabbah +1
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. Sper…
math.AG1999
Harmonic metrics and connections with irregular singularities
Claude Sabbah
We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface X with the L^2 complex relative to a…
math.AG1998
On a twisted de Rham complex
Claude Sabbah
We show that, given a projective regular function f on a smooth quasi-projective variety over C, the corresponding cohomology groups of the algebraic de Rham complex with twisted d…