Geodesic
Integral models of Shimura varieties with parahoric level structure
Publications Mathématiques de l'IHÉS, Tome 128 (2018), pp. 121-218 Cet article a éte moissonné depuis la source Numdam

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For a prime p>2, we construct integral models over p for Shimura varieties with parahoric level structure, attached to Shimura data (G,X) of abelian type, such that G splits over a tamely ramified extension of 𝐐 p . The local structure of these integral models is related to certain “local models”, which are defined group theoretically. Under some additional assumptions, we show that these integral models satisfy a conjecture of Kottwitz which gives an explicit description for the trace of Frobenius action on their sheaf of nearby cycles.

@article{PMIHES_2018__128__121_0,
     author = {Kisin, M. and Pappas, G.},
     title = {Integral models of {Shimura} varieties with parahoric level structure},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {121--218},
     year = {2018},
     publisher = {Springer Berlin Heidelberg},
     address = {Berlin/Heidelberg},
     volume = {128},
     doi = {10.1007/s10240-018-0100-0},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-018-0100-0/}
}
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Kisin, M.; Pappas, G. Integral models of Shimura varieties with parahoric level structure. Publications Mathématiques de l'IHÉS, Tome 128 (2018), pp. 121-218. doi: 10.1007/s10240-018-0100-0

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