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Murre's conjectures and explicit Chow-Künneth projectors for varieties with a nef tangent bundle.
- Source :
-
Transactions of the American Mathematical Society . Oct2008, Vol. 361 Issue 3, p1667-1681. 15p. - Publication Year :
- 2008
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 361
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 35489661
- Full Text :
- https://doi.org/10.1090/S0002-9947-08-04582-0