Toward equivariant Iwasawa theory. II.

DOI10.1016/S0019-3577(04)80018-1zbMath1142.11369MaRDI QIDQ2486118

Alfred Weiss, Juergen Ritter

Publication date: 5 August 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (26)

On the “main conjecture” of equivariant Iwasawa theory ⋮ Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases ⋮ On order of vanishing of characteristic elements ⋮ The main conjecture of Iwasawa theory for totally real fields ⋮ On the Iwasawa algebra for pro-\(l\) Galois groups ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ The integral logarithm in Iwasawa theory: an exercise ⋮ On free resolutions of Iwasawa modules ⋮ When do reduced Whitehead groups of Iwasawa algebras vanish? A reduction step ⋮ On a noncommutative Iwasawa main conjecture for varieties over finite fields ⋮ Poitou-Tate duality over extensions of global fields ⋮ The p-adic Coates–Sinnott Conjecture over maximal orders ⋮ On the p‐adic Stark conjecture at s=1 and applications ⋮ On the Work of Ritter and Weiss in Comparison with Kakde’s Approach ⋮ Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture” ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions ⋮ Non-commutative Fitting invariants and annihilation of class groups ⋮ Toward equivariant Iwasawa theory. III ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions, II ⋮ On descent theory and main conjectures in non-commutative Iwasawa theory ⋮ Fitting invariants in equivariant Iwasawa theory ⋮ Non-communtative Iwasawa main conjecture ⋮ On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture ⋮ Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ Transition formulae for ranks of abelian varieties

Cites Work

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• Arithmetic on two dimensional local rings
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Toward equivariant Iwasawa theory
• Algebraic K-groups as Galois modules
• The Iwasawa conjecture for totally real fields
• Onp-adic ArtinL-functions
• THE TANNAKA-ARTIN PROBLEM AND REDUCEDK-THEORY
• REPRESENTING Ω_(l∞) FOR REAL ABELIAN FIELDS
• The lifted root number conjecture and Iwasawa theory
• Endliche Gruppen I

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