The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields

DOI10.4171/dm/907arXiv2102.01545WikidataQ122956150 ScholiaQ122956150MaRDI QIDQ6177373

Publication date: 31 August 2023

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01545

zbMATH Keywords

Iwasawa theory $L$-series

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (2)

The strong Stark conjecture for totally odd characters ⋮ On the rank of Leopoldt's and Gross's regulator maps

Cites Work

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On a conjecture for Rubin-Stark elements in a special case
On the $\mu$-invariant of Katz $p$-adic $L$-functions attached to imaginary quadratic fields
Refined class number formulas for $\mathbb{G}_m$
On zeta elements for $\mathbb G_m$
On the two-variables main conjecture for extensions of imaginary quadratic fields
On a certain $l$-adic representation
Class fields of abelian extensions of $\mathbb Q$
The Stark conjectures on Artin $L$-functions at $s=0$. Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
Iwasawa theory and motivic $L$-functions
Exact sequences and Galois module structure
On the main conjecture of Iwasawa theory for imaginary quadratic fields
Values of abelian $L$-functions at negative integers over totally real fields
The Iwasawa invariant $\mu_p$ vanishes for abelian number fields
The ``main conjectures of Iwasawa theory for imaginary quadratic fields
Iwasawa theory and $p$-adic Hodge theory
On the equivariant Tamagawa number conjecture for Tate motives
Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters
On the Gross-Stark conjecture
$T$-ranks of Iwasawa modules
On a construction of $p$-units in abelian fields
A Stark conjecture ``over ${\mathbb{Z}}$ for abelian $L$-functions with multiple zeros
Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units
Construction of elliptic $\mathfrak{p}$-units
On two conjectures of Gross for large vanishing orders
On the non-critical exceptional zeros of Katz $p$-adic $L$-functions for CM fields
An idelic approach to the wild kernel
On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field
Congruences between derivatives of abelian $L$-functions at $s =0$
On Iwasawa theory, zeta elements for $\mathbb G_m$, and the equivariant Tamagawa number conjecture
On Euler systems for the multiplicative group over general number fields
Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
Local behavior of Iwasawa’s invariants
On the equivariant main conjecture for imaginary quadratic fields
On the cyclotomic main conjecture for the prime 2
Fonctions L p-adiques des corps quadratiques imaginaires et de leurs extensions abéliennes.
Sur les ideaux dont l'image par l'application d'Artin dans une -extension est trivale.
Wild Euler systems of elliptic units and the Equivariant Tamagawa Number Conjecture
Thaine's Method for Circular Units and a Conjecture of Gross
On the Theory of Higher Rank Euler, Kolyvagin and Stark Systems
On universal norms for $p$-adic representations in higher-rank Iwasawa theory
Cyclotomic Fields and Zeta Values
On the units of algebraic number fields
A higher rank Euler system for Gm over a totally real field
Tamagawa numbers for motives with (non-commutative) coefficients

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