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

Author(s): Jaya NN. Iyer
Journal: Trans. Amer. Math. Soc. 361 (2009), 1667-1681.
MSC (2000): Primary 14C25, 14D05, 14D20, 14D21
Posted: October 23, 2008
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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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Additional Information:

Jaya NN. Iyer
Affiliation: School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540
Address at time of publication: The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
Email: jniyer@ias.edu, jniyer@imsc.res.in

DOI: 10.1090/S0002-9947-08-04582-0
PII: S 0002-9947(08)04582-0
Keywords: Homogeneous spaces, Chow groups, projectors.
Received by editor(s): November 6, 2006
Received by editor(s) in revised form: June 5, 2007
Posted: October 23, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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