Algebraic cycles on an abelian variety

Details Algebraic cycles on an abelian variety Algebraic cycles on an abelian variety

2009-08-05

arxiv.org/abs/0908.0626v1

Mathematics

Algebraic Geometry

73 pages

Scientific paper

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.

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