Unramified elements in cycle modules

• Autores: Alexander S. Merkurjev
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 1, 2008, págs. 51-64
• Idioma: inglés
• DOI: 10.1112/jlms/jdn011
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• Resumen

  • Let X be an algebraic variety over a field F. We study the functor taking a cycle module M over F to the group of unramified elements M(F(X))nr of M(F(X)). We prove that this functor is represented by a cycle module. The existence of pull-back maps on M(F(X))nr for rational maps (under a mild condition) is established. An application to the R-equivalence on classifying varieties of algebraic groups is given.