Mathematics – Algebraic Geometry
Scientific paper
2008-08-21
Mathematics
Algebraic Geometry
6 pages; final revision (to appear Math. Res. Lett.)
Scientific paper
Beilinson conjectured that all rational cycles of type (q,q) on the qth
cohomology of a smooth complex algebraic variety should come from motivic
cohomology. The purpose of this note is to prove this when the variety is a
semiabelian variety or a product of curves. The proof is based on the study of
invariants under the Mumford-Tate group.
Arapura Donu
Kumar Manish
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