Note on linear relations in Galois cohomology and étale K-theory of curves

DOI10.1142/S0219199721500103zbMath1485.19006arXiv1905.10637OpenAlexW3135745230MaRDI QIDQ5016199

Piotr Krasoń

Publication date: 13 December 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10637

zbMATH Keywords

curvealgebraic curveHasse principleétale \(K\)-theory

Mathematics Subject Classification ID

Galois cohomology (12G05) Jacobians, Prym varieties (14H40) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Relations of (K)-theory with cohomology theories (19E20) (K)-theory of schemes (19E08) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

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Cites Work

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• Abelian varieties isogenous to a Jacobian
• A counterexample to the local-global principle of linear dependence for abelian varieties
• Continuous étale cohomology
• Kummer theory on extensions of Abelian varieties by tori
• Support problem for the intermediate Jacobians of \(l\)-adic representations.
• On the paramodularity of typical abelian surfaces
• On a dynamical local-global principle in Mordell-Weil type groups
• Existence of curves of genus two on a product of two elliptic curves
• Good reduction of abelian varieties
• On reduction map for étale \(K\)-theory of curves
• On a reduction map for Drinfeld modules
• On reduction maps for the étale and Quillen K-theory of curves and applications
• Algebraic and Etale K-Theory
• Multiplicative relations of points on algebraic groups
• On a local to global principle in étale K-groups of curves