On Hard Lefschetz Conjecture on Lawson Homology
Algebraic Geometry
2011-01-27 v1
Abstract
Friedlander and Mazur proposed a conjecture of hard Lefschetz type on Lawson homology. We shall relate this conjecture to Suslin conjecture on Lawson homology. For abelian varieties, this conjecture is shown to be equivalent to a vanishing conjecture of Beauville type on Lawson homology. For symmetric products of curves, we show that this conjecture amounts to the vanishing conjecture of Beauville type for the Jacobians of the corresponding curves. As a consequence, Suslin conjecture holds for all symmetric products of curves with genus at most 2.
Keywords
Cite
@article{arxiv.1101.4990,
title = {On Hard Lefschetz Conjecture on Lawson Homology},
author = {Ze Xu},
journal= {arXiv preprint arXiv:1101.4990},
year = {2011}
}
Comments
7 pages