On a twisted de rham complex

Claude Sabbah

doi:10.2748/tmj/1178224856

On a twisted de rham complex

Claude Sabbah

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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 (Ω_χ, d−df∧) and of the complex (Ω_χ, df∧) have the same dimension. We generalize the result to de Rham complexes with coefficients in a mixed Hodge Module.

langue originale	Anglais
Pages (de - à)	125-140
Nombre de pages	16
journal	Tohoku Mathematical Journal
Volume	51
Numéro de publication	1
Les DOIs	https://doi.org/10.2748/tmj/1178224856
état	Publié - 1 janv. 1999

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10.2748/tmj/1178224856

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AB - 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.

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On a twisted de rham complex

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