Raphael Fino: Rationality of cycle on function field of exceptional projective homogeneous varieties


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.

Full text: dvi.gz 19 k, dvi 45 k, ps.gz 2600 k, pdf.gz 147 k, pdf 172 k.

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