CM-lifts for Isogeny Classes of Shimura F-crystals over Finite Fields

الأصل · EN

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.