The p-adic Coates–Sinnott Conjecture over maximal orders

DOI10.1142/S1793042120500633zbMath1471.11268OpenAlexW2997853679WikidataQ122922443 ScholiaQ122922443MaRDI QIDQ3295467

Reza Taleb, Manfred Kolster

Publication date: 10 July 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500633

zbMATH Keywords

Iwasawa theoryalgebraic \(K\)-theoryétale cohomologymotivic cohomologyglobal and \(p\)-adic \(L\)-functions

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Motivic cohomology; motivic homotopy theory (14F42)

Cites Work

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• An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Higher Chern classes and Steenrod operations in motivic cohomology
• The analogue of the Gauss class number problem in motivic cohomology
• Class fields of abelian extensions of \(\mathbb Q\)
• Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory
• Values of abelian \(L\)-functions at negative integers over totally real fields
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Relations between \(K_2\) and Galois cohomology
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers
• An analogue of Stickelberger's theorem for the higher K-groups
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Higher relative class number formulae
• Toward equivariant Iwasawa theory
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Toward equivariant Iwasawa theory. II.
• Toward equivariant Iwasawa theory. III
• On the values of zeta and L-functions. I
• Toward equivariant Iwasawa theory. IV
• The Iwasawa conjecture for totally real fields
• Über die analytische Theorie der quadratischen Formen. III
• An Equivariant Main Conjecture in Iwasawa theory and applications
• Homological Dimension in Local Rings
• On the Coates-Sinnott Conjecture
• Onp-adic ArtinL-functions
• Algebraic and Etale K-Theory
• Onp-adicL-functions and cyclotomic fields. II
• The lifted root number conjecture and Iwasawa theory
• Two-primary algebraic 𝐾-theory of rings of integers in number fields

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