CM-lifts for Isogeny Classes of Shimura F-crystals over Finite Fields
Abstract
We extend to large contexts pertaining to Shimura varieties of Hodge type a result of Zink on the existence of lifts to characteristic 0 of suitable representatives of certain isogeny classes of abelian varieties endowed with Frobenius and other endomorphisms over pq, whose p-divisible groups in mixed characteristic (0,p) are with complex multiplication.
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