On a twisted de Rham complex

Details On a twisted de Rham complex On a twisted de Rham complex

1998-05-20

arxiv.org/abs/math/9805087v1

Tohoku Math. J. 51 (1999) 125-140

Mathematics

Algebraic Geometry

AMS-LaTeX with amsart.sty. 15 pages

Scientific paper

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 differential d-df and of the complex of algebraic forms with differential df have the same dimension (a result announced by Barannikov and Kontsevitch). We generalize the result to de Rham complexes with coefficients in a mixed Hodge Module.

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