On the coniveau of certain sub-Hodge structures

Details On the coniveau of certain sub-Hodge structures On the coniveau of certain sub-Hodge structures

2012-04-10

arxiv.org/abs/1204.2165v1

Mathematics

Algebraic Geometry

20 pages; comments welcome!

Scientific paper

We study the generalized Hodge conjecture for certain sub-Hodge structure
defined as the kernel of the cup product map with a big cohomology class, which
is of Hodge coniveau at least 1. As predicted by the generalized Hodge
conjecture, we prove that the kernel is supported on a divisor, assuming the
Lefschetz standard conjecture.

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