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Abstract
It is shown that to every ℚ-linear cycle ᾱ modulo numerical equivalence on an abelian variety A there is canonically associated a ℚ-linear cycle α modulo rational equivalence on A lying above ᾱ, characterised by a condition on the spaces of cycles generated by α on products of A with itself. The assignment ᾱ ↦ α respects the algebraic operations and pullback and push forward along homomorphisms of abelian varieties.
Received: 2009-08-06
Revised: 2009-09-14
Published Online: 2011-01-12
Published in Print: 2011-May
© Walter de Gruyter Berlin · New York 2011
