On the coniveau of certain sub-Hodge structures
Algebraic Geometry
2013-11-04 v2
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.
Cite
@article{arxiv.1204.2165,
title = {On the coniveau of certain sub-Hodge structures},
author = {Lie Fu},
journal= {arXiv preprint arXiv:1204.2165},
year = {2013}
}
Comments
23 pages. V2: Typos corrected. Comments still welcome. To appear in Math.Res.Lett