The Lifted Root Number Conjecture and Iwasawa Theory

ISBN-13: 9780821829288 / Angielski / Miękka / 2002

Jurgen Ritter; Alfred Weiss

Opis

This paper concerns the relation between the Lifted Root Number Conjecture, as introduced in GRW2], and a new equivariant form of Iwasawa theory. 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.