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B - Integral Models of Tori

from Part Five - Appendices

Published online by Cambridge University Press:  16 May 2023

Tasho Kaletha  and
Gopal Prasad
Tasho Kaletha
Affiliation:
University of Michigan, Ann Arbor
Gopal Prasad
Affiliation:
University of Michigan, Ann Arbor
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Summary

This appendix contains a careful discussion of integral models of tori. These include the \emph{standard model} discussed in \cite[\S4.4.6]{BrT2} under the name ``le sch\'ema canonique de fibre g\'en\'erique $T$'' and in \cite{VKM02} and \cite{Popov01} under the name ``standard model'', the \emph{ft-N\'eron model} briefly mentioned in \cite{ChaiYu01}, the \emph{lft-N\'eron model} constructed in \cite[\S10]{BLR}, as well as various congruence models related to the \emph{standard filtration} and the \emph{minimal congruent filtration}.

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Bruhat–Tits Theory
A New Approach
 , pp. 653 - 695
Publisher: Cambridge University Press
Print publication year: 2023

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