A generalization of Griffiths' theorem on rational integrals

Alexandru Dimca; Morihiko Saito

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A generalization of Griffiths' theorem on rational integrals

Alexandru Dimca·Morihiko Saito

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Abstract

We generalize Griffiths' 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 and Malgrange along the hypersurface and the Brieskorn module of the global defining equation of the hypersurface.

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Alexandru Dimca, Morihiko Saito. 2006-01-12. A generalization of Griffiths' theorem on rational integrals. https://arxiv.org/abs/math/0501253

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