1 November 2006 A generalization of Griffiths's theorem on rational integrals
Alexandru Dimca, Morihiko Saito
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Duke Math. J. 135(2): 303-326 (1 November 2006). DOI: 10.1215/S0012-7094-06-13523-8

Abstract

We generalize Griffiths's theorem on the Hodge filtration of the primitive cohomology of a smooth projective hypersurface using the local Bernstein-Sato polynomials, the V-filtration of Kashiwara [22] and Malgrange [27] along the hypersurface, and the Brieskorn module of the global defining equation of the hypersurface (see [4])

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Alexandru Dimca. Morihiko Saito. "A generalization of Griffiths's theorem on rational integrals." Duke Math. J. 135 (2) 303 - 326, 1 November 2006. https://doi.org/10.1215/S0012-7094-06-13523-8

Information

Published: 1 November 2006
First available in Project Euclid: 17 October 2006

zbMATH: 1117.14012
MathSciNet: MR2267285
Digital Object Identifier: 10.1215/S0012-7094-06-13523-8

Subjects:
Primary: 14C30 , 32S35
Secondary: 14F40 , 14J70 , 32S20 , 32S40

Rights: Copyright © 2006 Duke University Press

Vol.135 • No. 2 • 1 November 2006
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