On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture
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Publication:2404125
DOI10.2140/ant.2017.11.1527zbMath1455.11158OpenAlexW2756318308WikidataQ123022332 ScholiaQ123022332MaRDI QIDQ2404125
Takamichi Sano, Masato Kurihara, David J. Burns
Publication date: 18 September 2017
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/ant.2017.11.1527
Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)
Related Items (10)
On the non-critical exceptional zeros of Katz \(p\)-adic \(L\)-functions for CM fields ⋮ On the structure of the module of Euler systems for a \(p\)-adic representation ⋮ On generalised Kummer congruences and higher rank Iwasawa theory at arbitrary weights ⋮ On 𝑝-adic families of special elements for rank-one motives ⋮ The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields ⋮ On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\) ⋮ On the rank of Leopoldt's and Gross's regulator maps ⋮ Notes on the dual of the ideal class groups of CM-fields ⋮ On the Brumer-Stark conjecture ⋮ On universal norms for $p$-adic representations in higher-rank Iwasawa theory
Cites Work
- On a conjecture for Rubin-Stark elements in a special case
- Refined class number formulas for \(\mathbb{G}_m\)
- On zeta elements for \(\mathbb G_m\)
- Hilbert modular forms and the Gross-Stark conjecture
- On a certain \(l\)-adic representation
- On the rank one abelian Gross-Stark conjecture
- A note on the continuity of solutions of parametric linear programs
- Perfecting the nearly perfect
- The ``main conjectures of Iwasawa theory for imaginary quadratic fields
- Iwasawa theory and \(p\)-adic Hodge theory
- Galois relations for cyclotomic numbers and \(p\)-units
- On l-adic zeta functions
- On the equivariant Tamagawa number conjecture for Tate motives
- On a construction of \(p\)-units in abelian fields
- A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
- Shintani cocycles and the order of vanishing of \(p\)-adic Hecke \(L\)-series at \(s=0\)
- 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 \(s =0\)
- The Iwasawa conjecture for totally real fields
- Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
- On the cyclotomic main conjecture for the prime 2
- An Equivariant Main Conjecture in Iwasawa theory and applications
- On Galois structure invariants associated to Tate motives
- Wild Euler systems of elliptic units and the Equivariant Tamagawa Number Conjecture
- Tamagawa numbers for motives with (non-commutative) coefficients
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