Algebraic cycles on an abelian variety
Algebraic Geometry
2009-08-06 v1
Abstract
It is shown that to every Q-linear cycle \bar\alpha modulo numerical equivalence on an abelian variety A there is canonically associated a Q-linear cycle \alpha modulo rational equivalence on A lying above \bar\alpha. The assignment \bar\alpha -> \alpha respects the algebraic operations and pullback and push forward along homomorphisms of abelian varieties.
Cite
@article{arxiv.0908.0626,
title = {Algebraic cycles on an abelian variety},
author = {Peter O'Sullivan},
journal= {arXiv preprint arXiv:0908.0626},
year = {2009}
}
Comments
73 pages