Geodesic
N\'eron model of two-dimensional anisotropic algebraic tori over local fields
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 31-40

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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.
Mots-clés : algebraic tori
Keywords: Voskresenskii model, Néron model. 
@article{VSGU_2012_9_a3,
     author = {M. V. Grekhov},
     title = {N\'eron model of two-dimensional anisotropic algebraic tori over local fields},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {31--40},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_9_a3/}
}
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M. V. Grekhov. N\'eron model of two-dimensional anisotropic algebraic tori over local fields. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 31-40. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a3/