raphael.fino at hotmail.fr or fino at math.jussieu.fr
Submission: 2011, Nov 16
In this article we prove certain results comparing rationality of algebraic cycles over the function field of a quadric and over the base field. 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 different from 2.
2010 Mathematics Subject Classification: 14C25; 11E04
Keywords and Phrases: Chow groups, quadrics, Steenrod operations.
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