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arXiv · 0706.1566

Murre's conjectures and explicit Chow--Kuenneth projectors for some varieties

Jaya NN Iyer
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Abstract

In this paper, we investigate Murre's conjectures on the structure of rational Chow groups and exhibit explicit Chow--Kuenneth projectors for some examples. More precisely, the examples we study are the varieties which have a nef tangent bundle. For surfaces and threefolds which have a nef tangent bundle explicit Chow--Kuenneth projectors are obtained which satisfy Murre's conjectures and the motivic Hard Lefschetz theorem is verified.

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BibTeXRIS

Jaya NN Iyer. 2007-06-11. Murre's conjectures and explicit Chow--Kuenneth projectors for some varieties. https://arxiv.org/abs/0706.1566

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