The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

DOI10.1007/978-3-030-65203-6_3zbMath1476.19003OpenAlexW3160365271MaRDI QIDQ5018388

Amnon Besser

Publication date: 16 December 2021

Published in: Arithmetic L-Functions and Differential Geometric Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-65203-6_3

zbMATH Keywords

\(p\)-adic cohomologyalgebraic \(K\)-theory\(p\)-adic integrationsyntomic cohomologyregulators

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Curves over finite and local fields (11G20) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (1)

Toric Regulators

Cites Work

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• Syntomic cohomology and \(p\)-adic regulators for varieties over \(p\)-adic fields
• Finite polynomial cohomology for general varieties
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• A generalization of Coleman's \(p\)-adic integration theory
• The Hyodo-Kato structure for curves
• The syntomic regulator for \(K_4\) of curves
• Coleman integration versus Schneider integration on semistable curves
• \(p\)-adic Arakelov theory
• On the syntomic regulator for products of elliptic curves
• Syntomic regulators and \(p\)-adic integration. I: Rigid syntomic regulators
• Syntomic regulators and \(p\)-adic integration. II: \(K_2\) of curves

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