Published February 2009
| Submitted
Journal Article
Open
Integral points on symmetric varieties and Satake compatifications
- Creators
- Gorodnik, Alexander
- Oh, Hee
- Shah, Nimish
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 symmetric varieties and compute the asymptotic of the volumes of norm balls.
Additional Information
© 2009 Johns Hopkins University Press. Manuscript received October 20, 2006; revised August 30, 2007. Research of the first and the second authors supported in part by NSF grants 0400631, 0333397, and 0629322 respectively. The authors would like to thank Gopal Prasad for providing us with some important arguments used in the proof of Proposition 4.4.Attached Files
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0610497.pdf
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Additional details
- Eprint ID
- 15190
- Resolver ID
- CaltechAUTHORS:20090820-133049625
- DMS-0400631
- NSF
- DMS-0333397
- NSF
- DMS-0629322
- NSF
- Created
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2009-08-20Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field