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

Proceedings of the Steklov Institute of Mathematics volume 292, pages 171–184 (2016)Cite this article

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, College for Natural Science, Thainguyen University, Thainguyen, Vietnam

    Ngô Thị Ngoan

  2. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, Vietnam

    Nguyễn Quốc Thắng

Authors
  1. Ngô Thị Ngoan
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  2. Nguyễn Quốc Thắng
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Correspondence to Ngô Thị Ngoan.

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Dedicated to V.P. Platonov on his 75th birthday

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Ngoan, N.T., Thắng, N.Q. On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic. Proc. Steklov Inst. Math. 292, 171–184 (2016). https://doi.org/10.1134/S0081543816010119

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  • DOI: https://doi.org/10.1134/S0081543816010119

Keywords

  • Exact Sequence
  • STEKLOV Institute
  • Homogeneous Space
  • Global Function
  • Embedding Problem