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.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1-57
Launched on MUSE
2009-01-30
Open Access
No
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