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A note on the mean value theorem for special homogeneous spaces

Published online by Cambridge University Press:  22 January 2016

Masanori Morishita  and
Takao Watanabe
Masanori Morishita
Affiliation:
Department of Mathematics, Faculty of Science, Kanazawa University, Kakuma, Kanazawa, 920-11, Japan
Takao Watanabe
Affiliation:
Department of Mathematics, Faculty of Science, Kanazawa University, Kakuma, Kanazawa, 920-11, Japan
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Let G be a connected linear algebraic group and X an algebraic variety, both defined over Q, the field of rational numbers. Suppose that G acts on X transitively and the action is defined over Q. Suppose that the set of rational points X(Q) is non-empty. Choosing x ∈ X(Q) allows us to identify G/Gx and X as varieties over Q, there Gx is the stabilizer of x.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 143 , September 1996 , pp. 111 - 117
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

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