NERON MODEL OF TWO-DIMENSIONAL ANISOTROPIC ALGEBRAIC TORI OVER LOCAL FIELDS

Abstract

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.