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arXiv · 0808.2990

Beilinson-Hodge cycles on semiabelian varieties

Donu Arapura·Manish Kumar
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Abstract

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.

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Donu Arapura, Manish Kumar. 2009-02-24. Beilinson-Hodge cycles on semiabelian varieties. https://arxiv.org/abs/0808.2990

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