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November 2022 A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields
Nguyễn Quốc Thắng
Proc. Japan Acad. Ser. A Math. Sci. 98(9): 84-89 (November 2022). DOI: 10.3792/pjaa.98.016

Abstract

We give some new formulae relating an obstruction to the weak approximation on homogeneous spaces to the set of local and global Brauer and R-equivalence classes.

Citation

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Nguyễn Quốc Thắng. "A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields." Proc. Japan Acad. Ser. A Math. Sci. 98 (9) 84 - 89, November 2022. https://doi.org/10.3792/pjaa.98.016

Information

Published: November 2022
First available in Project Euclid: 31 October 2022

MathSciNet: MR4505378
Digital Object Identifier: 10.3792/pjaa.98.016

Subjects:
Primary: 11E72
Secondary: 20G10 , 20G30 , 20G35

Keywords: Brauer equivalence , Brauer groups , Galois cohomology , Reductive group , R-equivalence , weak approximation

Rights: Copyright © 2022 The Japan Academy

Vol.98 • No. 9 • November 2022
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