The lifted root number conjecture and Iwasawa theory
著者
書誌事項
The lifted root number conjecture and Iwasawa theory
（Memoirs of the American Mathematical Society, no. 748）
American Mathematical Society, 2002
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注記
"May 2002, volume 157, number 748 (fourth of 5 numbers)"
Includes bibliographical references (p. 89-90)
内容説明・目次
内容説明
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.
目次
- 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.
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