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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 116, Pages 102–107 (Mi znsl1756)  
This article is cited in 3 scientific papers (total in 3 papers)

Arithmetic properties of three-dimensional algebraic tori

B. È. Kunyavskii
Full-text PDF (638 kB) Citations (3)
Abstract: We compute the Shafarevich-Tate group, the kernel of the weak approximation and the Manin groups of three-dimensional algebraic tori defined over an algebraic number field. A minimal example of a torus with fractional Tamagawa number is constructed. A criterion for the validity of the Hasse norm principle for extensions of degree four of an algebraic number field is given.
English version:
Journal of Soviet Mathematics, 1984, Volume 26, Issue 3, Pages 1898–1901
DOI: https://doi.org/10.1007/BF01670577
Bibliographic databases:
UDC: 512.743
Language: Russian
Citation: B. È. Kunyavskii, “Arithmetic properties of three-dimensional algebraic tori”, Integral lattices and finite linear groups, Zap. Nauchn. Sem. LOMI, 116, "Nauka", Leningrad. Otdel., Leningrad, 1982, 102–107; J. Soviet Math., 26:3 (1984), 1898–1901
Citation in format AMSBIB
\Bibitem{Kun82}
\by B.~\`E.~Kunyavskii
\paper Arithmetic properties of three-dimensional algebraic tori
\inbook Integral lattices and finite linear groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 116
\pages 102--107
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1756}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=687845}
\zmath{https://zbmath.org/?q=an:0556.14020}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 26
\issue 3
\pages 1898--1901
\crossref{https://doi.org/10.1007/BF01670577}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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