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Zero Cycles on a Twisted Cayley Plane

Published online by Cambridge University Press:  20 November 2018

V. Petrov,
N. Semenov and
K. Zainoulline
V. Petrov
Affiliation:
PIMS, University of Alberta, Edmonton, AB, T6G 2G1 e-mail: vpetrov@math.ualberta.ca
N. Semenov
Affiliation:
Mathematisches Institut, Universität München, D-80333 München, Germany e-mail: Nikita.Semenov@mathematik.uni-muenchen.de kirill@mathematik.uni-muenchen.de
K. Zainoulline
Affiliation:
Mathematisches Institut, Universität München, D-80333 München, Germany e-mail: Nikita.Semenov@mathematik.uni-muenchen.de kirill@mathematik.uni-muenchen.de
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Abstract

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Let $k$ be a field of characteristic not 2, 3. Let $G$ be an exceptional simple algebraic group over $k$ of type ${{\text{F}}_{4}},$ $^{1}{{\text{E}}_{6}}$ or ${{\text{E}}_{7}}$ with trivial Tits algebras. Let $X$ be a projective $G$ -homogeneous variety. If $G$ is of type ${{\text{E}}_{7}},$ we assume in addition that the respective parabolic subgroup is of type ${{\text{P}}_{7}}.$ The main result of the paper says that the degree map on the group of zero cycles of $X$ is injective.

Keywords

20G1514C15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 1 , 01 March 2008, pp. 114 - 124
Copyright
Copyright © Canadian Mathematical Society 2008

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