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arXiv · 1204.2165

On the coniveau of certain sub-Hodge structures

Lie Fu
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Abstract

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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Lie Fu. 2012-04-10. On the coniveau of certain sub-Hodge structures. https://arxiv.org/abs/1204.2165

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