Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus

Abstract

We present a quantitative version of Bilu's theorem on the limit distribution of Galois orbits of sequences of points of small height in the $N$-dimensional algebraic torus. Our result gives, for a given point, an explicit bound for the discrepancy between its Galois orbit and the uniform distribution on the compact subtorus, in terms of the height and the generalized degree of the point.

Revised version accepted for publication in Algebra & Number Theory, 23 pages, amslatex

References in corpus (3)

• Big Line Bundles over Arithmetic Varieties
• Mesures et équidistribution sur les espaces de Berkovich
• Differentiability of the arithmetic volume function