On a twisted de rham complex

Abstract

We show that, given a projective regular function f: X → C ona smooth quasi-projective variety, the corresponding cohomology groups of the twisted de Rham complex (Ωχ, d−df∧) and of the complex (Ωχ, df∧) have the same dimension. We generalize the result to de Rham complexes with coefficients in a mixed Hodge Module. © 1999 Applied Probability Trust.