Finite Submodules and Iwasawa μ-Invariants
نویسندگان
چکیده
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 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 کاملFinite unions of submodules ON FINITE UNIONS OF SUBMODULES
This paper is concerned with finite unions of ideals and modules. The first main result is that if N ⊆ N1 ∪N2 ∪ · · · ∪Ns is a covering of a module N by submodules Ni, such that all but two of the Ni are intersections of strongly irreducible modules, then N ⊆ Nk for some k. The special case when N is a multiplication module is considered. The second main result generalizes earlier results on co...
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 کاملOn the Μ-invariant in Iwasawa Theory
The aim of this expository article is to discuss the μ-invariant associated to finitely generated modules over Iwasawa algebras. This is an important invariant which was first discovered by Iwasawa in the 1960’s and occurs in his seminal work on cyclotomic fields [9], [10]. In fact, Iwasawa conjectured that his μ-invariant was always zero for the pprimary subgroup of the ideal class group of th...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2002
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2717