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Orthogonal to Principal Ideles

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Abstract

We describe the orthogonal to the group of principal ideles with respect to the global tame symbol pairing on the group of ideles of a smooth projective algebraic curve over a field.

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Acknowledgements

The author is very grateful to D. V.Osipov and A. N. Parshin for many useful suggestions.

Funding

The author’s work was supported in part by Laboratory of Mirror Symmetry NRU HSE under RF Government grant, ag. no. 14.641.31.0001.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia

    S. O. Gorchinskiy

  2. National Research University Higher School of Economics, Moscow, 101000, Russia

    S. O. Gorchinskiy

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  1. S. O. Gorchinskiy
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Correspondence to S. O. Gorchinskiy.

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The article was submitted by the author for the English version of the journal.

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Gorchinskiy, S.O. Orthogonal to Principal Ideles. Math Notes 107, 425–434 (2020). https://doi.org/10.1134/S0001434620030062

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  • DOI: https://doi.org/10.1134/S0001434620030062

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