Rational Integrals of the second kind on a complex projective manifold and its primitive cohomology

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dc.creatorTsuboi, Shoji
dc.date2007-11-08
dc.date.accessioned2026-07-07T08:41:32Z
dc.date.available2026-07-07T08:41:32Z
dc.descriptionLet X be a complex algebraic manifold of dimension n+1 embedded in a sufficiently higher dimensional complex projective space, and Y a generic hyperplane section of X. We describe the mixed Hodge structure on H^p(X-Y,C) and the Hodge filtration of the middle primitive cohomology group H^n(Y,C)_0 of Y in terms of rational integrals on X. (Key words: Primitive cohomology, Rational integral of the 2nd kind, Generalized Poincare residue map, Hodge filtration, Mixed Hodge structure)
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/0711.1205
dc.identifierhttp://arxiv.org/abs/0711.1205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141702
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14D07; 32G13
dc.titleRational Integrals of the second kind on a complex projective manifold and its primitive cohomology
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