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Bibliographic Details
Main Author: Hedayatzadeh, Mohammad Hadi
Format: Preprint
Published: 2019
Subjects:
Online Access:https://arxiv.org/abs/1908.09877
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Table of Contents:
  • In their paper Scholze and Weinstein show that a certain diagram of perfectoid spaces is Cartesian. In this paper, we generalize their result. This generalization will be used in a forthcoming paper of ours to compute certain non-trivial $\ell$-adic étale cohomology classes appearing in the the generic fiber of Lubin-Tate and Rapoprt-Zink towers. We also study the behavior of the vector bundle functor on the fundamental curve in $p$-adic Hodge theory, defined by Fargues-Fontaine, under multilinear morphisms.