منابع مشابه
p-RIGIDITY AND IWASAWA μ-INVARIANTS (p-RIGIDITÉ ET μ-INVARIANTS DE IWASAWA)
Let F be a totally real eld with ring of integers O and p be an odd prime unrami ed in F . Let p be a prime above p. We prove that a mod p Hilbert modular form associated to F is determined by its restriction to the partial Serre-Tate deformation space Ĝm⊗Op. Using this p-rigidity and a linear independence of mod p Hilbert modular forms restricted to the partial Serre-Tate deformation space Ĝm⊗...
متن کاملIwasawa invariants of galois deformations
of the absolute Galois group of a number field F . Assume that ρ̄ is ordinary in the sense that the image of any decomposition group at a place v dividing p lies in some Borel subgroup Bv of G. Assume also that ρ̄ satisfies the conditions of [11, Section 7] which guarantee that it has a reasonable deformation theory; see Section 3.1 for details. In this paper we show that the Iwasawa invariants o...
متن کاملp-RIGIDITY AND IWASAWA μ-INVARIANTS
Let F be a totally real field with ring of integers O and p be an odd prime unramified in F . Let p be a prime above p. We prove that a mod p Hilbert modular form associated to F is determined by its restriction to the partial Serre-Tate deformation space Ĝm ⊗ Op (p-rigidity). Let K/F be an imaginary quadratic CM extension such that each prime of F above p splits in K and λ a Hecke character of...
متن کاملTopological invariants of generalized Kummer manifolds
Let L ⊆ C be a lattice and consider the compact complex torus XL = C/L. Let Γ 6 Aut(L) ∩ SL2m C be a (finite) group of automorphisms of L whose action on C is semifree (i.e., free away from 0). X L consists of finitely many isolated fixed points, so the orbifold XL/Γ has finitely many isolated singularities. We can resolve these singularities by ‘blowing up’ each of the singular points. In fact...
متن کاملO ct 2 00 8 Kummer Generators and Lambda Invariants
Let F0 = Q(√ −d) be an imaginary quadratic field with 3 ∤ d and let K0 = Q(√ 3d). Let ε0 be the fundamental unit of K0 and let λ be the Iwasawa λ-invariant for the cyclotomic Z3-extension of F0. The theory of 3-adic L-functions gives conditions for λ ≥ 2 in terms of ǫ0 and the class numbers of F0 and K0. We construct units of K1, the first level of the Z3-extension of K0, that potentially occur...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1978
ISSN: 0022-314X
DOI: 10.1016/0022-314x(78)90021-5