A construction of rational elliptic surfaces with the non-surjective boundary map on \(K_{2}\)

DOI10.1007/S00229-013-0623-0zbMath1326.14085OpenAlexW2090697346MaRDI QIDQ2248946

Mariko Ohara

Publication date: 27 June 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-013-0623-0

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Cites Work

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• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• Algebraic K-theory II - ``Classical algebraic K-theory, and connections with arithmetic. Proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute, Seattle/WA (USA), Aug. 28-Sept. 8, 1972.
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• On the second rational K -group of an elliptic curve over global fields of positive characteristic
• Opérations En K-Théorie Algébrique
• Higher algebraic K-theory: I

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