Murre's conjectures and explicit Chow–Kunneth projectors for varieties with a nef tangent bundle

Iyer, Jaya N. N. (2008) Murre's conjectures and explicit Chow–Kunneth projectors for varieties with a nef tangent bundle Transactions of the American Mathematical Society, 361 (03). pp. 1667-1681. ISSN 0002-9947

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Official URL: http://www.ams.org/journals/tran/2009-361-03/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9947-08-04582-0

Abstract

In this paper, we investigate Murre's conjectures on the structure of rational Chow groups and exhibit explicit Chow-Künneth 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-Kunneth projectors are obtained which satisfy Murre's conjectures, and the motivic Hard Lefschetz theorem is verified.

Item Type:Article
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ID Code:102300
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