Cup products and mixed Hodge structures

Details Cup products and mixed Hodge structures Cup products and mixed Hodge structures

1999-02-23

arxiv.org/abs/math/9902134v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

Let X be a complete complex nonsingular algebraic variety and D a closed
algebraic subset of X. We show that the cup product maps H^i(X \setminus D)
\otimes H^j(X,D) \to H^{i+j}(X,D) are morphisms of mixed Hodge structures. As a
corollary we obtain a new proof of a duality result of Fujiki. We also deal
with the extraordinary cup product.

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