On Galois structure invariants associated to Tate motives

DOI10.1353/ajm.1998.0047zbMath0929.11050OpenAlexW2037039228MaRDI QIDQ4221293

Matthias Flach, David J. Burns

Publication date: 22 July 1999

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm120.6.html

zbMATH Keywords

algebraic \(K\)-theorymotivesChinburg invariantsGalois structure of \(K\)-groupsGalois structure of algebraic integers

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) (K)-theory of global fields (11R70) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (21)

Equivariant epsilon constant conjectures for weakly ramified extensions ⋮ Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Abstract \(\ell\)-adic 1-motives and Tate's canonical class for number fields ⋮ Numerical Evidence for a Conjectural Generalization of Hilbert's Theorem 132 ⋮ Motivic \(L\)-functions and Galois module structures ⋮ On the structure of the module of Euler systems for a \(p\)-adic representation ⋮ 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 ⋮ On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture ⋮ On derivatives of Artin \(L\)-series ⋮ Zeta functions of regular arithmetic schemes at \(s=0\) ⋮ Fitting ideals in number theory and arithmetic ⋮ Leading terms of Artin L-series at negative integers and annihilation of higher K-groups ⋮ \(p\)-adic properties of motivic fundamental lines ⋮ Annihilating wild kernels ⋮ On higher order Stickelberger-type theorems ⋮ A representative of RΓ(N,T) for higher dimensional twists of ℤpr(1) ⋮ Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields ⋮ On the cyclotomic main conjecture for the prime 2 ⋮ Picard 1-motives and Tate sequences for function fields ⋮ Hyperbolic tessellations and generators of for imaginary quadratic fields

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