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Special correspondences and Chow traces of Landweber-Novikov operations
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K. Zainoulline
Published/Copyright:
January 21, 2009
Abstract
We prove that the function field of a variety which possesses a special correspondence in the sense of M. Rost preserves rationality of cycles of small codimensions. This fact was proven by Vishik in the case of quadrics and played the crucial role in his construction of fields with u-invariant 2r + 1. The main technical tools are the algebraic cobordism of Levine-Morel, the generalised degree formula and the divisibility of Chow traces of certain Landweber-Novikov operations. As a direct application of our methods we prove the similar fact for all F4-varieties.
Received: 2007-11-20
Revised: 2008-01-11
Published Online: 2009-01-21
Published in Print: 2009-March
© Walter de Gruyter Berlin · New York 2009
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- Groupoids and an index theorem for conical pseudo-manifolds
- Linear forms in elliptic logarithms
- Random quotients of the modular group are rigid and essentially incompressible
- The pro-p Hom-form of the birational anabelian conjecture
- Multiplication operators on the Bergman space via the Hardy space of the bidisk
- Morita equivalences of cyclotomic Hecke algebras of type G(r, p, n)
- Special correspondences and Chow traces of Landweber-Novikov operations
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Articles in the same Issue
- Groupoids and an index theorem for conical pseudo-manifolds
- Linear forms in elliptic logarithms
- Random quotients of the modular group are rigid and essentially incompressible
- The pro-p Hom-form of the birational anabelian conjecture
- Multiplication operators on the Bergman space via the Hardy space of the bidisk
- Morita equivalences of cyclotomic Hecke algebras of type G(r, p, n)
- Special correspondences and Chow traces of Landweber-Novikov operations
- Double Kodaira fibrations
