Geodesic
Vanishing theorems for the mod p cohomology of some simple Shimura varieties
Forum of Mathematics, Sigma, Tome 8 (2020)

Voir la notice de l'article provenant de la source Cambridge University Press

We show that the mod p cohomology of a simple Shimura variety treated in Harris-Taylor’s book vanishes outside a certain nontrivial range after localizing at any non-Eisenstein ideal of the Hecke algebra. In cases of low dimensions, we show the vanishing outside the middle degree under a mild additional assumption. 
@article{10_1017_fms_2020_36,
     author = {Teruhisa Koshikawa},
     title = {Vanishing theorems for the mod p cohomology of some simple {Shimura} varieties},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {8},
     year = {2020},
     doi = {10.1017/fms.2020.36},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2020.36/}
}
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Teruhisa Koshikawa. Vanishing theorems for the mod p cohomology of some simple Shimura varieties. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2020.36

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