The Lifted Root Number Conjecture and Iwasawa Theory (Memoirs of the American Mathematical Society)

The Lifted Root Number Conjecture and Iwasawa Theory (Memoirs of the American Mathematical Society)

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Description

This paper concerns the relation between the Lifted Root Number Conjecture, as introduced in [GRW2], and a new equivariant form of Iwasawa theory. At present, a main conjecture of equivariant Iwasawa theory is formulated, and its equivalence to the Lifted Root Number Conjecture is shown subject to the validity of a semi-local version of the Root Number Conjecture, which itself is proved in the case of a tame extension of real abelian fields.

Contents

Introduction The Tripod Restriction, deflation; change of maps, and variance with $S$ Definition of $\mho S$; $\Omega \Phi$ as a shadow of $\mho S$ $\mho S$ over the maximal order in the case when $G$is abelian Local considerations Towards a representing homomorphism for $\Omega {\varphi {\mathcal L}}$ Real cyclotomic extensions tame over $1$ References.

Product Details

  • ISBN13: 9780821829288
  • Format: Paperback
  • ID: 9780821829288
  • ISBN10: 0821829289

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