Integral points on symmetric varieties and Satake compatifications
Number Theory
2019-02-18 v2 Algebraic Geometry
Dynamical Systems
Abstract
Let V be an affine symmetric variety defined over Q. We compute the asymptotic distribution of the angular components of the integral points in V. This distribution is described by a family of invariant measures concentrated on the Satake boundary of V. In the course of the proof, we describe the structure of the Satake compactifications for general affine symmetic varieties and compute the asymptotic of the volumes of norm balls.
Cite
@article{arxiv.math/0610497,
title = {Integral points on symmetric varieties and Satake compatifications},
author = {Alexander Gorodnik and Hee Oh and Nimish Shah},
journal= {arXiv preprint arXiv:math/0610497},
year = {2019}
}
Comments
to appear in Amer. J. Math