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Zero-cycles on projective varieties and the norm principle

Part of: Linear algebraic groups and related topics

Published online by Cambridge University Press:  23 December 2009

Philippe Gille  and
Nikita Semenov
Philippe Gille
Affiliation:
UMR 8553 du CNRS, École Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France (email: [email protected])
Nikita Semenov
Affiliation:
Mathematisches Institut, Universität München, Theresienstrasse 39, 80333 München, Germany (email: [email protected])
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Abstract

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Using the Gille–Merkurjev norm principle we compute in a uniform way the image of the degree map for quadrics (Springer’s theorem), for twisted forms of maximal orthogonal Grassmannians (a theorem of Bayer-Fluckiger and Lenstra), and for E6- (a theorem of Rost) and E7-varieties.

Keywords

norm principlealgebraic groupszero-cycles

MSC classification

Secondary: 20G15: Linear algebraic groups over arbitrary fields
Type
Research Article
Information
Compositio Mathematica , Volume 146 , Issue 2 , March 2010 , pp. 457 - 464
Copyright
Copyright © Foundation Compositio Mathematica 2009

References

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