RAPOPORT–ZINK UNIFORMIZATION OF HODGE-TYPE SHIMURA VARIETIES
نویسندگان
چکیده
منابع مشابه
P -adic Uniformization of Unitary Shimura Varieties
Introduction Let Γ ⊂ PGUd−1,1(R) 0 be a torsion-free cocompact lattice. Then Γ acts on the unit ball B ⊂ C by holomorphic automorphisms. The quotient Γ\B is a complex manifold, which has a unique structure of a complex projective variety XΓ (see [Sha, Ch. IX, §3]). Shimura had proved that when Γ is an arithmetic congruence subgroup, XΓ has a canonical structure of a projective variety over some...
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In this paper we show that certain Shimura varieties, uniformized by the product of complex unit balls, can be p-adically uniformized by the product (of equivariant coverings) of Drinfeld upper half-spaces and their equivariant coverings. We also extend a p-adic uniformization to automorphic vector bundles. It is a continuation of our previous work [V] and contains all cases (up to a central mo...
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Let U be a connected quasi-projective manifold and f : A → U a family of abelian varieties of dimension g. Suppose that the induced map U → Ag is generically finite and there is a compactification Y with complement S = Y \ U a normal crossing divisor such that Ω1Y (logS) is nef and ωY (S) is ample with respect to U . We characterize whether U is a Shimura variety only by numerical data attached...
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ژورنال
عنوان ژورنال: Forum of Mathematics, Sigma
سال: 2018
ISSN: 2050-5094
DOI: 10.1017/fms.2018.18