The Lifted Root Number Conjecture and Iwasawa Theory
2002
American Mathematical Society (Verlag)
978-0-8218-2928-8 (ISBN)
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.
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 |
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