The Lifted Root Number Conjecture and Iwasawa Theory

American Mathematical Society (Autor)

Buch | Softcover

2002
American Mathematical Society (Verlag)
978-0-8218-2928-8 (ISBN)

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Focuses on the relation between the Lifted Root Number Conjecture, and a equivariant form of Iwasawa theory.

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.

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.

Erscheint lt. Verlag	30.3.2002
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	references
Verlagsort	Providence
Sprache	englisch
Gewicht	227 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-8218-2928-9 / 0821829289
ISBN-13	978-0-8218-2928-8 / 9780821829288
Zustand	Neuware