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| Format: | Preprint |
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2019
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| Online Access: | https://arxiv.org/abs/1908.09877 |
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| _version_ | 1866929251601612800 |
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| author | Hedayatzadeh, Mohammad Hadi |
| author_facet | Hedayatzadeh, Mohammad Hadi |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_09877 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A Cartesian Diagram of Rapoport-Zink Towers over Universal Covers of $p$-Divisible Groups Hedayatzadeh, Mohammad Hadi Number Theory Algebraic Geometry 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. |
| title | A Cartesian Diagram of Rapoport-Zink Towers over Universal Covers of $p$-Divisible Groups |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/1908.09877 |