Functoriality of the coniveau filtration

Details Functoriality of the coniveau filtration Functoriality of the coniveau filtration

2005-01-21

arxiv.org/abs/math/0501347v1

Mathematics

Algebraic Geometry

10 pages, latex

Scientific paper

There is a natural descending filtration on the singular cohomology of a complex smooth projective variety called the coniveau filtration. The generalized Hodge conjecture would imply, rather trivially, that the coniveau filtration is compatible with pushforwards, pullbacks and products. The purpose of this paper is to prove this statement unconditionally. This completes the argument in math.AG/0102070.

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