منابع مشابه
On the “main Conjecture” of Equivariant Iwasawa Theory
The “main conjecture” of equivariant Iwasawa theory concerns the situation where • l is a fixed odd prime number and K/k is a Galois extension of totally real number fields with k/Q and K/k∞ finite, where k∞/k is the cyclotomic Zl-extension (we set G = G(K/k) and Γk = G(k∞/k)), • S is a fixed finite set (which will normally be suppressed in the notation) of primes of k containing all primes whi...
متن کاملOn the “main Conjecture” of Equivariant Iwasawa Theory
The “main conjecture” of equivariant Iwasawa theory concerns the situation where • l is a fixed odd prime number and K/k is a Galois extension of totally real number fields with k/Q and K/k∞ finite, where k∞/k is the cyclotomic Zl-extension (we set G = G(K/k) and Γk = G(k∞/k)), • S is a fixed finite set (which will normally be suppressed in the notation) of primes of k containing all primes whi...
متن کاملEquivariant Iwasawa theory and non-abelian Starck-type conjectures
We discuss three di erent formulations of the equivariant Iwasawa main conjecture attached to an extension K/k of totally real elds with Galois group G, where k is a number eld and G is a p-adic Lie group of dimension 1 for an odd prime p. All these formulations are equivalent and hold if Iwasawa's μ-invariant vanishes. Under mild hypotheses, we use this to prove non-abelian generalizations of ...
متن کاملOn the Equivariant Main Conjecture of Iwasawa Theory
Refining results of David Burns and Cornelius Greither, respectively Annette Huber and Guido Kings, we formulate and prove an equivariant version of the main conjecture of Iwasawa theory for abelian number fields.
متن کاملHybrid Iwasawa Algebras and the Equivariant Iwasawa Main Conjecture
Let p be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian p-adic Lie extensions. Crucially, this result does not depend on the vanishing of the relevant Iwasawa μ-invariant.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2004
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(04)80018-1