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Bibliographic Details
Main Authors: Gille, Philippe, Lee, Ting-Yu
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.16475
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Table of Contents:
  • We provide a characterization of homogeneous spaces under a reductive group scheme such that the geometric stabilizers are maximal tori. The quasi-split case over a semilocal base is of special interest and permits to answer a question raised by Marc Levine on homogeneous SL$_n$-spaces. At the end, we provide an application to the local-global principles for embeddings of étale algebras with involution into central simple algebras with involution.