Geodesic
Integral structures in algebraic tori
Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 881-897

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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. 
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     author = {V. E. Voskresenskii and T. V. Fomina},
     title = {Integral structures in algebraic tori},
     journal = {Izvestiya. Mathematics },
     pages = {881--897},
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     volume = {59},
     number = {5},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a0/}
}
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V. E. Voskresenskii; T. V. Fomina. Integral structures in algebraic tori. Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 881-897. http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a0/