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Evaluation of Units

  • Jakob Stix
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2054)

Abstract

In the spirit of the section conjecture, a section should behave like a rational point. In particular, we should be able to evaluate a function in a section. At least for invertible functions this can be achieved via Kummer theory, see Definition 57, if we accept that the values will be taken in a certain completion of the multiplicative group of the ground field.

Keywords

Abelian Group Galois Extension Invertible Function Ground Field Leray Spectral Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Ja88.
    Jannsen, U.: Continuous étale cohomology. Math. Annalen 280, 207–245 (1988)MathSciNetzbMATHCrossRefGoogle Scholar
  2. Se79.
    Serre, J.-P.: Local Fields. Graduate Text in Mathematics, vol. 67, viii + 260 pp. Springer, New York (1979)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Jakob Stix
    • 1
  1. 1.Mathematics Center Heidelberg (MATCH)University of HeidelbergHeidelbergGermany

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