Murre’s conjectures and explicit Chow-Künneth projectors for varieties with a nef tangent bundle

Iyer, Jaya

doi:10.1090/S0002-9947-08-04582-0

Murre’s conjectures and explicit Chow-Künneth projectors for varieties with a nef tangent bundle
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by Jaya NN. Iyer PDF

Trans. Amer. Math. Soc. 361 (2009), 1667-1681 Request permission

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–Künneth projectors are obtained which satisfy Murre’s conjectures, and the motivic Hard Lefschetz theorem is verified.

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