Integral structures in algebraic tori

Autor:	T V Fomina, V E Voskresenskii
Rok vydání:	1995
Předmět:	Algebraic cycle Algebra Function field of an algebraic variety General Mathematics Algebraic surface Real algebraic geometry Algebraic extension Dimension of an algebraic variety Algebraic closure Algebraic element Mathematics
Zdroj:	Izvestiya: Mathematics. 59:881-897
ISSN:	1468-4810 1064-5632
DOI:	10.1070/im1995v059n05abeh000038
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ef611369ed04ddca0fb8863f16e99745 https://doi.org/10.1070/im1995v059n05abeh000038 Zobrazit plný text záznamu