منابع مشابه
Elliptic algebra Uq,p(ŝl2) : Drinfeld currents and vertex operators
We investigate the structure of the elliptic algebra Uq,p(ŝl2) introduced earlier by one of the authors. Our construction is based on a new set of generating series in the quantum affine algebra Uq(ŝl2), which are elliptic analogs of the Drinfeld currents. They enable us to identify Uq,p(ŝl2) with the tensor product of Uq(ŝl2) and a Heisenberg algebra generated by P,Q with [Q,P ] = 1. In terms ...
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In this paper, we apply Dwork’s p-adic methods to study the meromorphic continuation and rationality of various L-functions arising from π-adic Galois representations, Drinfeld modules and φ-sheaves. As a consequence, we prove some conjectures of Goss about the rationality of the local L-function and the meromorphic continuation of the global L-function attached to a Drinfeld module. Let Fq be ...
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Let (G, X, K) be a Shimura datum with reflex field E. Choose a prime number p and a prime ideal p of E lying over p. Suppose that Kp ⊂ G(Qp) is a parahoric subgroup. Also assume that G splits over Qun p , and hence that Ep is an unramified extension of Qp. Let SK denote a model over OE,p of the corresponding Shimura variety. Then it is often the case that SK has bad reduction. The singularities...
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We prove several results on Almgren’s multiple valued functions and their links to integral currents. In particular, we give a simple proof of the fact that a Lipschitz multiple valued map naturally defines an integer rectifiable current; we derive explicit formulae for the boundary, the mass and the first variations along certain specific vectorfields; and exploit this connection to derive a d...
متن کاملIdeals of Smooth Functions and Residue Currents
Let f = (f 1 ; : : : ; f m) be a holomorphic mapping in a neighborhood of the origin in C n. We nd suucient condition, in terms of residue currents, for a smooth function to belong to the ideal in C k generated by f. If f is a complete intersection the condition is essentially necessary. More generally we give suucient condition for an element of class C k in the Koszul complex induced by f to ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2007
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-007-0351-y