Algebraic cycles on an abelian variety

作者:O'Sullivan Peter*
来源:Journal fur die Reine und Angewandte Mathematik, 2011, 654: 1-81.
DOI:10.1515/CRELLE.2011.025

摘要

It is shown that to every Q-linear cycle (alpha)over-bar modulo numerical equivalence on an abelian variety A there is canonically associated a Q-linear cycle a modulo rational equivalence on A lying above (alpha)over-bar, characterised by a condition on the spaces of cycles generated by alpha on products of A with itself. The assignment (alpha)over-bar -> alpha a respects the algebraic operations and pullback and push forward along homomorphisms of abelian varieties.

  • 出版日期2011-5