Memoirs of the American Mathematical Society
2002;
90 pp;
Softcover
MSC: Primary 11;
Print ISBN: 978-0-8218-2928-8
Product Code: MEMO/157/748
List Price: $59.00
AMS Member Price: $35.40
MAA Member Price: $53.10
Electronic ISBN: 978-1-4704-0341-6
Product Code: MEMO/157/748.E
List Price: $59.00
AMS Member Price: $35.40
MAA Member Price: $53.10
The Lifted Root Number Conjecture and Iwasawa Theory
Share this pageJürgen Ritter; Alfred Weiss
This paper concerns the relation between the Lifted Root Number Conjecture, as d introduced in [GRW2], and a new equivariant form of Iwasawa theory. At d present, a main conjecture of equivariant Iwasawa theory is formulated, and d its equivalence to the Lifted Root Number Conjecture is shown subject to the validity of a semi-local d version of the Root Number Conjecture, which itself is proved in the case of a d tame extension of real abelian fields.
Readership
Graduate students and research mathematicians interested in number theory.
Table of Contents
Table of Contents
The Lifted Root Number Conjecture and Iwasawa Theory
- Table of Contents vii8 free
- 1. Introduction 110 free
- 2. The Tripod 1019 free
- 3. Restriction, deflation; change of maps, and variance with S 1726
- 4. Definition of [omitted][sub(s)] ; Ω[sub(Φ)] as a shadow of [omitted][sub(s)] 2736
- 5. [omitted][sub(s)] over the maximal order in the case when G is abelian 4453
- 6. Local considerations 5867
- 7. Towards a representing homomorphism for Ω[sub([omitted]L)] 7079
- 8. Real cyclotomic extensions tame over l 8190
- References 8998