Open AccessNERON MODEL OF TWO-DIMENSIONAL ANISOTROPIC ALGEBRAIC TORI OVER LOCAL FIELDS
Author(s) -
М. В. Грехов
Publication year - 2012
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2012-18-9-31-40
Subject(s) - torus , mathematics , constructive , algebraic number , algebra over a field , pure mathematics , mathematical analysis , computer science , geometry , process (computing) , operating system
The construction of integral models is necessary for the research on arithmetical properties of algebraic tori. Neron 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 Neron model is solved for all two-dimensional anisotropic algebraic tori over local fields.