منابع مشابه
Iwasawa 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 (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 کاملComputation of Iwasawa ν-invariants of certain real abelian fields
Let p be a prime number and k a finite extension of Q. It is conjectured that Iwasawa invariants λp(k) and μp(k) vanish for all p and totally real number fields k. Using cyclotomic units and Gauss sums, we give an effective method for computing the other Iwasawa invariants νp(k) of certain real abelian fields. As numerical examples, we compute Iwasawa invariants associated to k = Q( √ f, ζp + ζ...
متن کاملOn Small Iwasawa Invariants and Imaginary Quadratic Fields
If p is an odd prime that does not divide the class number of the imaginary quadratic field k , and the cyclotomic Z -extension of k has A-invariant less than or equal to two, we prove that every totally ramified Z extension of k has //-invariant equal to zero and A-invariant less than or equal to two. Combined with a result of Bloom and Gerth, this has the consequence that ß = 0 for every Z -e...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1987
ISSN: 0022-314X
DOI: 10.1016/0022-314x(87)90027-8