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Algebraic construction of the tame symbol and the Parshin symbol on a surface.

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Publication:1429910
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DOI10.1016/j.jalgebra.2003.07.005zbMath1072.14012OpenAlexW2069952336MaRDI QIDQ1429910

Fernando Pablos Romo

Publication date: 27 May 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.005


zbMATH Keywords

valuation ringcommutatorcentral extension of groups


Mathematics Subject Classification ID

Rational points (14G05) Homological methods in group theory (20J05) Surfaces and higher-dimensional varieties (14J99) (Co)homology theory in algebraic geometry (14F99) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)


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A general reciprocity law for symbols on arbitrary vector spaces ⋮ Reciprocity Laws on Algebraic Surfaces via Iterated Integrals ⋮ Cohomological characterization of the Hilbert symbol over Q*p ⋮ 3-cocycles, symbols and reciprocity laws on curves



Cites Work

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  • The tame symbol
  • The geometry of two-dimensional symbols
  • ON THE TAME SYMBOL OF AN ALGEBRAIC CURVE
  • Residues of differentials on curves
  • Introduction to Algebraic K-Theory. (AM-72)
  • Local class field theory
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