On the reciprocity map for a surface fibered in conics defined over a local field

DOI10.1023/A:1007880216662zbMath0936.19004OpenAlexW2334521982MaRDI QIDQ1818741

Tamás Szamuely

Publication date: 7 February 2000

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

Full work available at URL: https://doi.org/10.1023/a:1007880216662

zbMATH Keywords

quaternion algebrasreduced normsreciprocity mapunramified class field theoryconic fibrations

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Local ground fields in algebraic geometry (14G20) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (3)

Class field theory for a product of curves over a local field ⋮ The Brauer–Manin pairing, class field theory, and motivic homology ⋮ Non-divisible cycles on surfaces over local fields

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