MILNOR K-GROUP ATTACHED TO A TORUS AND BIRCH–TATE CONJECTURE

DOI10.1142/S0129167X09005571zbMath1181.11074arXiv0804.3260OpenAlexW2962946861WikidataQ123290785 ScholiaQ123290785MaRDI QIDQ3395348

Takao Yamazaki

Publication date: 26 August 2009

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

Full work available at URL: https://arxiv.org/abs/0804.3260

zbMATH Keywords

Artin \(L\)-functionBirch-Tate conjectureMilnor \(K\)-groups attached to tori

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) (K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Related Items (2)

Milnor \(K\)-groups attached to elliptic curves over a \(p\)-adic field ⋮ A Tate duality theorem for local Galois symbols. II. The semi-abelian case

Cites Work

• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• \(K_ 2\)-analogs of Hasse's norm theorems
• Class field theory for a product of curves over a local field
• On the torsion in \(K_ 2\) of local fields
• Relations between \(K_2\) and Galois cohomology
• The construction of weight-two arithmetic cohomology
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
• The Albanese map for curves and contractions
• A finiteness theorem for K\(_2\) of a number field
• Arithmetic of algebraic tori
• The Iwasawa conjecture for totally real fields
• On Milnor K-groups attached to semi-Abelian varieties
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• On a classification of the function fields of algebraic tori

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