On Euler systems for the multiplicative group over general number fields

DOI10.5565/PUBLMAT6712302MaRDI QIDQ2687294

Alexandre Daoud, Soogil Seo, Takamichi Sano, David J. Burns

Publication date: 2 March 2023

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01565

zbMATH Keywords

multiplicative groupColeman's conjecturehigher rank Euler systems

Mathematics Subject Classification ID

Units and factorization (11R27) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Notes on the module of Euler systems for $p$-adic representations ⋮ The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields

Cites Work

• Unnamed Item
• Unnamed Item
• On zeta elements for \(\mathbb G_m\)
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Circular distributions of finite order
• On the Stickelberger ideal and the circular units of an abelian field
• On the equivariant Tamagawa number conjecture for Tate motives
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• On circular distributions and a conjecture of Coleman
• Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
• On the cyclotomic main conjecture for the prime 2
• On units generated by Euler systems
• On an Archimedian characterization of the circular units.
• Elliptic Curves with Complex Multiplication and Iswasawa Theory
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• On Galois structure invariants associated to Tate motives
• A note on circular distributions
• On the Theory of Higher Rank Euler, Kolyvagin and Stark Systems
• Circular distributions and Euler systems

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