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Connectedness of classes of fields and zero-cycles on projective homogeneous varieties

Published online by Cambridge University Press:  24 November 2006

Vladimir Chernousov  and
Alexander Merkurjev
Vladimir Chernousov
Affiliation:
Department of Mathematical Sciences, University of Alberta, Edmonton, Albert, Canada T6G 2G1 chernous@math.ualberta.ca
Alexander Merkurjev
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USAmerkurev@math.ucla.edu
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Abstract

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We study the Chow group of zero-dimensional cycles for projective homogeneous varieties of semisimple algebraic groups. We show that in many cases this group has no torsion.

Keywords

algebraic groupsprojective homogeneous varietieszero-cycles20G1514M1514M17
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 6 , November 2006 , pp. 1522 - 1548
Copyright
Foundation Compositio Mathematica 2006