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

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 نشر من قبل Adrian Vasiu
 تاريخ النشر 2003
  مجال البحث
والبحث باللغة English
 تأليف Adrian Vasiu




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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 $dbF_{p^q}$, whose $p$-divisible groups in mixed characteristic $(0,p)$ are with complex multiplication.

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