On p-adic L-series, p-adic cohomology and class field theory
We establish several close links between the Galois structures of a range of arithmetic modules including certain natural families of ray class groups, the values at strictly positive integers of -adic Artin -series, the Shafarevich–Weil Theorem and the conjectural surjectivity of certain norm maps...
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Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2017-11, Vol.2017 (732), p.55-83 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | We establish several close links between the Galois structures of a range of arithmetic modules including certain natural families of ray class groups, the values at strictly positive integers of
-adic Artin
-series, the Shafarevich–Weil Theorem and the conjectural surjectivity of certain norm maps in cyclotomic
-extensions. Non-commutative Iwasawa theory and the theory of organising matrices play a key role in our approach. |
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ISSN: | 0075-4102 1435-5345 |
DOI: | 10.1515/crelle-2014-0139 |