Geodesic
The category $\mathcal{MF}$ in the semistable case
Izvestiya. Mathematics , Tome 80 (2016) no. 5, pp. 849-868

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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. 
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     author = {G. Faltings},
     title = {The category $\mathcal{MF}$ in the semistable case},
     journal = {Izvestiya. Mathematics },
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     number = {5},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a2/}
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G. Faltings. The category $\mathcal{MF}$ in the semistable case. Izvestiya. Mathematics , Tome 80 (2016) no. 5, pp. 849-868. http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a2/