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 Tr. Mat. Inst. Steklova, 2016, Volume 292, Pages 177–190 (Mi tm3697)

On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic

Ngô Thị Ngoana, Nguyễn Quốc Thångb

a Department of Mathematics and Informatics, College for Natural Science, Thainguyen University, Thainguyen, Vietnam
b Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, Vietnam

Abstract: We extend to global function fields some Hasse principles for homogeneous spaces of connected linear algebraic groups proved earlier by several authors in the case of number fields. We also give some applications.

 Funding Agency Grant Number National Foundation for Science and Technology Development Vietnam 101.04-2014.34 Vietnam Institute for Advanced Study in Mathematics The research of the second author is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant no. 101.04-2014.34, and is also partially supported by VIASM.

DOI: https://doi.org/10.1134/S0371968516010118

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 292, 171–184

Bibliographic databases:

Document Type: Article
UDC: 512.74
Language: English

Citation: Ngô Th{\d i} Ngoan, Nguyẽn Quőc Thång, “On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 177–190; Proc. Steklov Inst. Math., 292 (2016), 171–184

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tm3697
• https://doi.org/10.1134/S0371968516010118
• http://mi.mathnet.ru/eng/tm/v292/p177

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This publication is cited in the following articles:
1. Ngo Thi Ngoan, Nguyen Quoc Thang, “On some Hasse principles for algebraic groups over global fields. III”, Proc. Jpn. Acad. Ser. A-Math. Sci., 92:8 (2016), 87–91
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