1 citations · 2 across the 6 of their papers we have counts for
9 papers
Characterization of norm and quasi-norm forms in S-adic setting
George Tomanov
The goal of the present paper is to characterize the norm and quasi-norm forms defined over an arbitrary number field F in terms of their values at the S-integer points, where S is…
Characterization of norm forms via their values at integer points
George Tomanov
Using homogeneous dynamical approach, we obtain a complete description of the forms with discrete set of values at the integer points and not representing zero non-trivially over t…
Closures of locally divergent orbits of maximal tori and values of homogeneous forms
George Tomanov
Let $\G$ be a semisimple algebraic group over a number field , a finite set of places of , the direct product of the completions $K_v, v \in \ma…
Properly discontinuous group actions on affine homogeneous spaces
George Tomanov
A generalization of the Auslander conjecture is proved in the case when the Levi factor of the Zariski closure of the acting group is a product of simple real algebraic groups of r…
Locally divergent orbits of maximal tori and values of forms at integral points
George Tomanov
Let $\G$ be a semisimple algebraic group defined over a number field , $\te$ a maximal -split torus of $\G$, a finite set of valuations of containing the ar…
S-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion
Dmitry Kleinbock, Ronggang Shi, George Tomanov
In this note we give a detailed proof of certain results on geometry of numbers in the -adic case. These results are well-known to experts, so the aim here is to provide a conve…