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Izvestiya: Mathematics, 2016, Volume 80, Issue 5, Pages 849–868
DOI: https://doi.org/10.1070/IM8490 (Mi im8490) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The category $\mathcal{MF}$ in the semistable case

G. Faltings

Max Planck Institute for Mathematics, Bonn, Germany
English version PDF (291 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM8490
Abstract: The categories $\mathcal{MF}$ over discrete valuation rings were introduced by J. M. Fontaine as crystalline objects one might hope to associate with Galois representations. The definition was later extended to smooth base-schemes. Here we give a further extension to semistable schemes. As an application we show that certain Shimura varieties have semistable models.
Keywords: Fontaine theory, Galois representations.
Received: 14.12.2015
Revised: 02.05.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 5, Pages 41–60
DOI: https://doi.org/10.4213/im8490
Bibliographic databases:
Document Type: Article
UDC: 512.73
MSC: 14F30
Language: English
Original paper language: English
Citation: G. Faltings, “The category $\mathcal{MF}$ in the semistable case”, Izv. RAN. Ser. Mat., 80:5 (2016), 41–60; Izv. Math., 80:5 (2016), 849–868
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:706
    Russian version PDF:183
    English version PDF:15
    References:72
    First page:57
     
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