The space of homogeneous probability measures on Γ\X¯maxS is compact: With an appendix by Jialun Li.

IF 1.3 2区数学 Q1 MATHEMATICS

Mathematische Annalen Pub Date : 2023-01-01 DOI:10.1007/s00208-022-02412-w

Christopher Daw, Alexander Gorodnik, Emmanuel Ullmo

引用次数: 3

Abstract

In this paper we prove that the space of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space is compact. As an application, we explain some consequences for the distribution of weakly special subvarieties of Shimura varieties.

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Γ\X¯max上的齐次概率测度空间是紧致的，附李家伦的附录。

本文证明了算术局部对称空间的极大Satake紧化上的齐次概率测度空间是紧的。作为应用，我们解释了Shimura型弱特殊子型分布的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.