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Izvestiya: Mathematics, 1995, Volume 59, Issue 5, Pages 881–897
DOI: https://doi.org/10.1070/IM1995v059n05ABEH000038
(Mi im38)
 

This article is cited in 3 scientific papers (total in 3 papers)

Integral structures in algebraic tori

V. E. Voskresenskii, T. V. Fomina

Samara State University
References:
Abstract: The main result is the construction of a minimal integral model of an algebraic torus defined over a complete non-Archimedean extension of an algebraic number field. The structure of such models is studied. The main problem is the study of the model in the case of a ramified splitting field. Reductions of these models with respect to a simple module are described. Minimal models of tori over the ring of algebraic integers are constructed. The local volumes and class numbers of some models are calculated.
Received: 09.11.1994
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1995, Volume 59, Issue 5, Pages 3–18
Bibliographic databases:
MSC: 14E30, 12F05, 13G05
Language: English
Original paper language: Russian
Citation: V. E. Voskresenskii, T. V. Fomina, “Integral structures in algebraic tori”, Izv. RAN. Ser. Mat., 59:5 (1995), 3–18; Izv. Math., 59:5 (1995), 881–897
Citation in format AMSBIB
\Bibitem{VosFom95}
\by V.~E.~Voskresenskii, T.~V.~Fomina
\paper Integral structures in algebraic tori
\jour Izv. RAN. Ser. Mat.
\yr 1995
\vol 59
\issue 5
\pages 3--18
\mathnet{http://mi.mathnet.ru/im38}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1360631}
\zmath{https://zbmath.org/?q=an:0899.20025}
\transl
\jour Izv. Math.
\yr 1995
\vol 59
\issue 5
\pages 881--897
\crossref{https://doi.org/10.1070/IM1995v059n05ABEH000038}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UH54100001}
Linking options:
  • https://www.mathnet.ru/eng/im38
  • https://doi.org/10.1070/IM1995v059n05ABEH000038
  • https://www.mathnet.ru/eng/im/v59/i5/p3
  • 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
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:266
    Russian version PDF:127
    English version PDF:19
    References:39
    First page:1
     
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