| Electronic ISBN: | 978-1-4704-0341-6 |
| Product Code: | MEMO/157/748.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $35.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 157; 2002; 90 ppMSC: Primary 11;
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.
ReadershipGraduate students and research mathematicians interested in number theory.
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Table of Contents
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Chapters
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1. Introduction
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2. The tripod
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3. Restriction, deflation; change of maps, and variance with $S$
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4. Definition of $\mho _S; \Omega _\Phi $ as a shadow of $\mho _S$
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5. $\mho _S$ over the maximal order in the case when $G$ is abelian
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6. Local considerations
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7. Towards a representing homomorphism for $\Omega _{\varphi _\mathcal {L}}$
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8. Real cyclotomic extensions tame over $l$
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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.
Graduate students and research mathematicians interested in number theory.
-
Chapters
-
1. Introduction
-
2. The tripod
-
3. Restriction, deflation; change of maps, and variance with $S$
-
4. Definition of $\mho _S; \Omega _\Phi $ as a shadow of $\mho _S$
-
5. $\mho _S$ over the maximal order in the case when $G$ is abelian
-
6. Local considerations
-
7. Towards a representing homomorphism for $\Omega _{\varphi _\mathcal {L}}$
-
8. Real cyclotomic extensions tame over $l$
