Rational Integrals of the second kind on a complex projective manifold and its primitive cohomology
Algebraic Geometry
2007-11-09 v1 Complex Variables
Abstract
Let 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)
Keywords
Cite
@article{arxiv.0711.1205,
title = {Rational Integrals of the second kind on a complex projective manifold and its primitive cohomology},
author = {Shoji Tsuboi},
journal= {arXiv preprint arXiv:0711.1205},
year = {2007}
}
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42 pages