The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li

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.

Detalles Bibliográficos
Autores principales: Daw, Christopher, Gorodnik, Alexander, Ullmo, Emmanuel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10163147/
https://www.ncbi.nlm.nih.gov/pubmed/37162800
http://dx.doi.org/10.1007/s00208-022-02412-w
Descripción
Sumario: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.

Ejemplares similares