Chow motives of universal families over some Shimura surfaces
Algebraic Geometry
2008-02-22 v2 Number Theory
Abstract
We prove an absolute Chow-Kuenneth decomposition for the motive of universal families A of abelian varieties over some compact Shimura surface. We furthermore prove the Hodge conjecture for general fibres of A, extending results of Ribet.
Keywords
Cite
@article{arxiv.0710.4209,
title = {Chow motives of universal families over some Shimura surfaces},
author = {Andrea Miller},
journal= {arXiv preprint arXiv:0710.4209},
year = {2008}
}
Comments
18 pages, typos and enlarged introduction