Fields with vanishing \(K_ 2\). Torsion in \(H^ 1(X,K_ 2)\) and \(Ch^ 2(X)\)

DOI10.1007/BF01670578zbMath0544.14014OpenAlexW2330133874MaRDI QIDQ796597

I. A. Panin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01670578

zbMATH Keywords

torsionaffine curve over field of characteristic pK2 of finite fieldMennicke symbolsSK1

Mathematics Subject Classification ID

Galois cohomology (12G05) Arithmetic ground fields for curves (14H25) Finite ground fields in algebraic geometry (14G15) Picard groups (14C22) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Riemann-Roch theorems for higher algebraic K-theory
• Relations between \(K_2\) and Galois cohomology
• La conjecture de Weil. I
• Fundamental groups, algebraic K-theory, and a problem of Abhyankar
• Higher algebraic K-theory: I
• Gersten's conjecture and the homology of schemes
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