On a twisted de rham complex

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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.

Original languageEnglish
Pages (from-to)125-140
Number of pages16
JournalTohoku Mathematical Journal
Volume51
Issue number1
DOIs
Publication statusPublished - 1 Jan 1999

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