Nombre de classes des tores de multiplication complexe et bornes inferieures pour orbites Galoisiennes de points speciaux

2012/09/05 by Emmanuel Ullmo, Ullmo, Emmanuel, Andrei Yafaev +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1209.0942

To appear in Bulletin de la SMF, in French

openalex publication_date 2012/09/05 · arxiv created 2013/09/10 · arxiv updated 2013/09/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We establish a Brauer-Siegel type formula for class numbers of CM tori. We deduce lower bounds for Galois orbits of certain Shimura varieties.

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