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 manuscript we generalize the Z/p metabelian birational p-adic Section Conjecture for curves, as introduced and proved in Pop [P2], to all complete smooth varieties. As a consequence one gets a minimalistic p-adic analog of the famous Artin–Schreier theorem on the Galois characterization of the orderings of fields.
متن کاملP -adic Uniformization of Unitary Shimura Varieties Ii
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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Three topics figure prominently in themodern higher arithmetic: zeta-functions, Galois representations, and automorphic forms or, equivalently, representations. The zeta-functions are attached to both the Galois representations and the automorphic representations and are the link that joins them. Although by and large abstruse and often highly technical the subject has many claims on the attent...
متن کاملp-ADIC DISTANCE FROM TORSION POINTS OF SEMI-ABELIAN VARIETIES
Tate and Voloch have conjectured that the p-adic distance from torsion points of semi-abelian varieties over Cp to subvarieties may be uniformly bounded. We prove this conjecture for prime-to-p torsion points on semi-abelian varieties over Q p using methods of algebraic model theory. Let Cp denote the completion of the algebraic closure of the p-adic numbers with p-adic valuation v normalized t...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1978
ISSN: 0021-8693
DOI: 10.1016/0021-8693(78)90206-5