A p-adic analogue of the Borel regulator and the Bloch–Kato exponential map

DOI10.1017/S1474748010000216zbMath1243.11113arXivmath/0612611OpenAlexW2042750627MaRDI QIDQ3069640

Guido Kings, Annette Huber-Klawitter

Publication date: 18 January 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612611

zbMATH Keywords

Lie algebra cohomologysyntomic cohomology\(p\)-adic regulatorBorel regulatorcontinuous group cohomologyLazard isomorphism

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Analysis on (p)-adic Lie groups (22E35) Rigid analytic geometry (14G22) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Continuous cohomology of Lie groups (22E41) (K)-theory of local fields (11S70)

Related Items (4)

Comparison of Karoubi's regulator and the p-adic Borel regulator ⋮ A cohomological Tamagawa number formula ⋮ Volume and symplectic structure for \(\ell\)-adic local systems ⋮ KAROUBI’S RELATIVE CHERN CHARACTER, THE RIGID SYNTOMIC REGULATOR, AND THE BLOCH–KATO EXPONENTIAL MAP

Cites Work

• Higher regulators and values of \(L\)-functions
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Continuous cohomology and a conjecture of Serre's
• Syntomic regulators and values of \(p\)-adic \(L\)-functions. II
• On the image of \(p\)-adic regulators
• Finiteness of de Rham cohomology in rigid analysis.
• \(p\)-adic analytic groups
• The Regulators of Beilinson and Borel
• Rigid analytic spaces with overconvergent structure sheaf
• Weak Formal Schemes
• Syntomic regulators and \(p\)-adic integration. I: Rigid syntomic regulators

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