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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
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
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
Linking options:
https://www.mathnet.ru/eng/im38https://doi.org/10.1070/IM1995v059n05ABEH000038 https://www.mathnet.ru/eng/im/v59/i5/p3
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Abstract page: | 266 | Russian version PDF: | 127 | English version PDF: | 19 | References: | 39 | First page: | 1 |
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