Mod <i>p</i> classification of Shimura <i>F</i> ‐crystals
Mod <i>p</i> classification of Shimura <i>F</i> ‐crystals
Abstract Let k be an algebraically closed field of positive characteristic p . We first classify the D ‐truncations mod p of Shimura F ‐crystals over k and then we study stratifications defined by inner isomorphism classes of these D ‐truncations. This generalizes previous works of Kraft, Ekedahl, Oort, Moonen, …