Abstract
Let $V$ be an affine symmetric variety defined over $\Bbb Q$. 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 symmetric varieties and compute the asymptotic of the volumes of norm balls.
| Translated title of the contribution | Integral points on symmetric varieties and Satake compatifications |
|---|---|
| Original language | English |
| Pages (from-to) | 1 - 57 |
| Number of pages | 57 |
| Journal | American Journal of Mathematics |
| Volume | 131, issue 1 |
| Publication status | Published - Feb 2009 |