RaphaŽl Fino: Rationality of cycles over function fields of SL_1(A)-torsors

raphael.fino@imj-prg.fr

Submission: 2016, Feb 23

In this note we prove a result comparing rationality of algebraic cycles over the function field of a SL_1(A) -torsor for a central simple algebra A and over the base field.

2010 Mathematics Subject Classification: 14C25, 20G15

Keywords and Phrases: Chow groups, central simple algebras, principal homogeneous spaces

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