Remarks on hard Lefschetz conjectures on Chow groups

Details Remarks on hard Lefschetz conjectures on Chow groups Remarks on hard Lefschetz conjectures on Chow groups

2009-05-26

arxiv.org/abs/0905.4114v1

Mathematics

Algebraic Geometry

to appear in Sciences in China, Ser. A Mathematics

Scientific paper

We propose two conjectures of Hard Lefschetz type on Chow groups and prove
them for some special cases. For abelian varieties, we shall show they are
equivalent to well-known conjectures of Beauville and Murre.

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