Cup products and mixed Hodge structures
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9902134,
title = {Cup products and mixed Hodge structures},
author = {J. H. M. Steenbrink},
journal= {arXiv preprint arXiv:math/9902134},
year = {2007}
}
Comments
9 pages