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- Title
INTEGRAL POINTS ON SYMMETRIC VARIETIES AND SATAKE COMPATIFICATIONS.
- Authors
Gorodnik, Alexander; Hee Oh; Shah, Nimish
- Abstract
Abstract. Let V be an affine symmetric variety defined over Q. We compute the asyniptotic 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. En the course of the proof, we describe the structure of the Satake compactifications for general affiume symmetric varieties and compute the asymptotic of the volumes of norm balls.
- Subjects
MATHEMATICAL symmetry; INTEGRAL equations; INVARIANT measures; MATHEMATICAL proofs; COMPACTIFICATION (Mathematics)
- Publication
American Journal of Mathematics, 2009, Vol 131, Issue 1, p1
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.0.0034