A Tate sequence for global units

Jürgen Ritter; Alfred Weiss

Compositio Mathematica (1996)

  • Volume: 102, Issue: 2, page 147-178
  • ISSN: 0010-437X

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Ritter, Jürgen, and Weiss, Alfred. "A Tate sequence for global units." Compositio Mathematica 102.2 (1996): 147-178. <http://eudml.org/doc/90451>.

@article{Ritter1996,
author = {Ritter, Jürgen, Weiss, Alfred},
journal = {Compositio Mathematica},
keywords = {Fundamental classes; class field theory; Galois cohomology; exact sequence},
language = {eng},
number = {2},
pages = {147-178},
publisher = {Kluwer Academic Publishers},
title = {A Tate sequence for global units},
url = {http://eudml.org/doc/90451},
volume = {102},
year = {1996},
}

TY - JOUR
AU - Ritter, Jürgen
AU - Weiss, Alfred
TI - A Tate sequence for global units
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 102
IS - 2
SP - 147
EP - 178
LA - eng
KW - Fundamental classes; class field theory; Galois cohomology; exact sequence
UR - http://eudml.org/doc/90451
ER -

References

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  1. [AT] Artin, E. / Tate, J.: Class field theory. Harvard (1961). 
  2. [C] Chinburg, T.: On the Galois structure of algebraic integers and S-units. Invent. math.14 (1983), 321-349. Zbl0564.12016MR724009
  3. [CB] Chinburg, T.: The Galois stucture of S-units. Sém. Théorie des Nombres de Bordeaux, no. 40 (1982- 1983). Zbl0592.12009MR750340
  4. [G] Gruenberg, K.W.: Relation modules of finite groups. Regional conference series in mathematics, no. 25AMS (1976). Zbl0327.20019MR457538
  5. [GW] Gruenberg, K.W./ Weiss, A.: Galois invariants for units. Proc. LMS70 (1995), 264-284. Zbl0828.11062MR1309230
  6. [GWL] Gruenberg, K.W. / Weiss, A.: Galois invariants for local units, preprint. Zbl0858.11060
  7. [RW] Ritter, J. / Weiss, A.: On the local Galois structure of S-units, in: Algebra and Number Theory, Proceedings of a Conference held at the Institute for Experimental Mathematics, University of Essen, Germany, December 2-4, 1992 (eds. G. Frey, J. Ritter), de Gruyter Proceedings in Mathematics (1994), 229-245. Zbl0819.11051MR1285369
  8. [S] Serre, J.P.: Corps Locaux. Hermann, Paris (1962). Zbl0137.02601MR354618
  9. [TN] Tate, J.: The cohomology groups of tori in finite Galois extensions of number fields. Nagoya Math. J.27 (1966), 709-719. Zbl0146.06501MR207680
  10. [TCF] Tate, J.: Global Class Field Theory, Chapter VII in: Cassels, J.W.S./ Fröhlich, A., Algebraic Number Theory. Academic Press (1967). Zbl1179.11041MR220697
  11. [TW] Tate, J.: Number theoretic background, in: Automorphic Forms, Representations, and L-Functions. Proc. Symp. Pure Math. AMS33 (1979), 3-26. Zbl0422.12007MR546607
  12. [TS] Tate, J.: Les conjectures de Stark sur les Fonctions L d'Artin en s = 0. Progress in Math.47, Birkhäuser (1984). Zbl0545.12009MR782485
  13. [W] Weil, A.: Basic Number Theory, Springer (1974). Zbl0326.12001MR427267

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