Integral points on symmetric varieties and Satake compatifications

A Gorodnik, H Oh, N Shah

Research output: Contribution to journalArticle (Academic Journal)peer-review

13 Citations (Scopus)

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 contributionIntegral points on symmetric varieties and Satake compatifications
Original languageEnglish
Pages (from-to)1 - 57
Number of pages57
JournalAmerican Journal of Mathematics
Volume131, issue 1
Publication statusPublished - Feb 2009

Bibliographical note

Publisher: Johns Hopkins University Press

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