Galois lattices and reductions of algebraic tori

In this paper we construct the minimal integral model of a finite type of a n algebraic torus defined over a complete non-Archimedean extension of an a lgebraic number field. The main problem is to study this model in the case of the ramified splitting field. We describe the models of quasi-split tori , norm tori and tori of low dimension. We also calculate the reduction of t hese models.