Murre’s conjectures and explicit Chow-Künneth projectors for varieties with a nef tangent bundle
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- by Jaya NN. Iyer PDF
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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.References
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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
- Received by editor(s): November 6, 2006
- Received by editor(s) in revised form: June 5, 2007
- Published electronically: October 23, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 1667-1681
- MSC (2000): Primary 14C25, 14D05, 14D20, 14D21
- DOI: https://doi.org/10.1090/S0002-9947-08-04582-0
- MathSciNet review: 2457413