The Galois sturcture of the square root of the inverse different.
The genus class group I
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems
The so-called Lifted Root Number Conjecture is a strengthening of Chinburg’s - conjecture for Galois extensions of number fields. It is certainly more difficult than the -localization. Following the lead of Ritter and Weiss, we prove the Lifted Root Number Conjecture for the case that and the degree of is an odd prime, with another small restriction on ramification. The very explicit calculations with cyclotomic units use trees and some classical combinatorics for bookkeeping. An important...
The Lifted Root Number Conjecture for some cyclic extensions of ℚ
The ring of integers of an abelian number field.
Torsion points on elliptic curves and galois module structure.
Trace maps in algebraic K-theory and the Coates-Wiles homomorphism.
Units in real Abelian fields.
Units in real Abelian fields
ε-constants and equivariant Arakelov–Euler characteristics
Модули Галуа в многомерном локальном поле
О представлениях алгебраических чисел метрицами
Фильтрация Лютц как модуль Галуа в расширении без высшего ветвления