Integral Points on Symmetric Varieties and Satake Compatifications
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چکیده
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 symmetic varieties and compute the asymptotic of the volumes of norm balls.
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تاریخ انتشار 2006