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
Hauptverfasser: Burns, David, Macias Castillo, Daniel
Format: Artikel
Sprache:eng
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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.
ISSN:0075-4102
1435-5345
DOI:10.1515/crelle-2014-0139