Beilinson-Hodge cycles on semiabelian varieties
Algebraic Geometry
2009-02-24 v2 Number Theory
Abstract
Beilinson conjectured that all rational cycles of type (q,q) on the qth cohomology of a smooth complex algebraic variety should come from motivic cohomology. The purpose of this note is to prove this when the variety is a semiabelian variety or a product of curves. The proof is based on the study of invariants under the Mumford-Tate group.
Keywords
Cite
@article{arxiv.0808.2990,
title = {Beilinson-Hodge cycles on semiabelian varieties},
author = {Donu Arapura and Manish Kumar},
journal= {arXiv preprint arXiv:0808.2990},
year = {2009}
}
Comments
6 pages; final revision (to appear Math. Res. Lett.)