Submission: 2013, Jun 6
In this article we prove a result comparing rationality of algebraic cycles over the function field of a projective homogeneous variety under a linear algebraic group of type F4 or E8 and over the base field, which can be of any characteristic.
2010 Mathematics Subject Classification: 14C25, 20G41
Keywords and Phrases: Chow groups and motives, exceptional algebraic groups, projective homogeneous varieties.
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