Around rationality of integral cycles
- Autores: Raphaël Fino
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 9, 2013, págs. 1702-1710
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2012.12.003
- Enlaces
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Resumen
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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