On a local to global principle in étale K-groups of curves

DOI10.1017/is013003030jkt13223zbMath1291.19005OpenAlexW2033898117MaRDI QIDQ5397693

Piotr Krasoń, Grzegorz Banaszak

Publication date: 24 February 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is013003030jkt13223

zbMATH Keywords

Jacobian varietyalgebraic curvereduction mapétale \(K\)-theorylocal to global principle

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (5)

On a dynamical local-global principle in Mordell-Weil type groups ⋮ On reduction maps and arithmetic dynamics of Mordell–Weil type groups ⋮ Some remarks on the reduction map for Drinfeld modules ⋮ On a reduction map for Drinfeld modules ⋮ Note on linear relations in Galois cohomology and étale K-theory of curves

Cites Work

• On reduction maps and support problem in \(K\)-theory and abelian varieties
• Continuous étale cohomology
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Support problem for the intermediate Jacobians of \(l\)-adic representations.
• Detecting linear dependence by reduction maps
• On arithmetic in Mordell–Weil groups
• Kummer theory of abelian varieties and reductions of Mordell–Weil groups
• On the problem of detecting linear dependence for products of abelian varieties and tori
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