Evaluation of Units

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


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.


Abelian Group Galois Extension Invertible Function Ground Field Leray Spectral Sequence 
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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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