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Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, Issue 9(100), Pages 31–40 (Mi vsgu97)  

Mathematics

Néron model of two-dimensional anisotropic algebraic tori over local fields

M. V. Grekhov

Dept. of Algebra and Geometry, Samara State University, Samara, 443011, Russian Federation

Abstract: The construction of integral models is necessary for the research on arithmetical properties of algebraic tori. Néron model, having some unique properties, is of special interest among different possible integral models of algebraic tori over local fields. Its definition is not constructive, though. That's why its construction is an important problem. In this paper the problem of explicit construction of Néron model is solved for all two-dimensional anisotropic algebraic tori over local fields.

Keywords: algebraic tori, Voskresenskii model, Néron model.

Full text: PDF file (127 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file

Document Type: Article
UDC: 512.7
Received: 03.12.2012
Revised: 06.12.2012

Citation: M. V. Grekhov, “Néron model of two-dimensional anisotropic algebraic tori over local fields”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 31–40

Citation in format AMSBIB
\Bibitem{Gre12}
\by M.~V.~Grekhov
\paper N\'eron model of two-dimensional anisotropic algebraic tori over local fields
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 9(100)
\pages 31--40
\mathnet{http://mi.mathnet.ru/vsgu97}


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