Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596745 | Journal of Pure and Applied Algebra | 2013 | 9 Pages |
Abstract
In this article we prove a result comparing rationality of integral algebraic cycles over the function field of a quadric and over the base field. This is an integral version of the result known for Z/2Z-coefficients. Those results have already been proved by Alexander Vishik in the case of characteristic 0, which allowed him to work with algebraic cobordism theory. Our proofs use the modulo 2 Steenrod operations in the Chow theory and work in any characteristic ≠2.
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