On a generalization of Tate dualities with application to Iwasawa theory

Li Guo

Compositio Mathematica (1993)

  • Volume: 85, Issue: 2, page 125-161
  • ISSN: 0010-437X

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Guo, Li. "On a generalization of Tate dualities with application to Iwasawa theory." Compositio Mathematica 85.2 (1993): 125-161. <http://eudml.org/doc/90195>.

@article{Guo1993,
author = {Guo, Li},
journal = {Compositio Mathematica},
keywords = {-adic Galois representations; Selmer groups; duality-pairing},
language = {eng},
number = {2},
pages = {125-161},
publisher = {Kluwer Academic Publishers},
title = {On a generalization of Tate dualities with application to Iwasawa theory},
url = {http://eudml.org/doc/90195},
volume = {85},
year = {1993},
}

TY - JOUR
AU - Guo, Li
TI - On a generalization of Tate dualities with application to Iwasawa theory
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 85
IS - 2
SP - 125
EP - 161
LA - eng
KW - -adic Galois representations; Selmer groups; duality-pairing
UR - http://eudml.org/doc/90195
ER -

References

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  1. [1] S. Bloch and K. Kato: L-functions and Tamagawa numbers of motives, The Grothendieck Festschrift, vol. 1, Birkhäuser (1990), 333-400. Zbl0768.14001MR1086888
  2. [2] K.S. Brown: Cohomology of groups, Springer-Verlag (1982). Zbl0584.20036MR672956
  3. [3] J. Cassels: Arithmetic on curves of genus 1 (IV). Proof of the Hauptvermutung, J. Reine Angew. Math.211 (1962), 95-112. Zbl0106.03706MR163915
  4. [4] M. Flach: A generalization of the Cassels-Tate pairing, J. Reine Angew. Math.412 (1990), 113-127. Zbl0711.14001MR1079004
  5. [5] R. Greenberg: Iwasawa theory for p-adic representations, Adv. Stud. in Pure Math.17, Academic Press (1989), 97-137. Zbl0739.11045MR1097613
  6. [6] R. Greenberg: Iwasawa theory for motives, in L- functions and Arithmetic, Proceedings of the Durham Symposium, London Math. Soc. Lecture Notes Series, vol. 153 (1991), pp. 211-233. Zbl0727.11043MR1110394
  7. [7] L. Guo: On a generalization of Tate dualities with application to Iwasawa theory, Thesis, University of Washington, in preparation. Zbl0789.11063
  8. [8] B. Mazur: Rational points of abelian varieties with values in towers of number fields, Invent. Math.18 (1972), 183-266. Zbl0245.14015MR444670
  9. [9] W G.McCallum: On the Shafarevich-Tate group of the jacobian of a quotient of the Fermat curve, Invent. Math.93 (1988), 637-666. Zbl0661.14033MR952286
  10. [10] J.S. Milne: Arithmetic duality theorem, Academic Press (1986). Zbl0613.14019MR881804
  11. [11] K. Rubin: On the main conjecture of Iwasawa theory for imaginary quadratic fields, Invent. Math.93 (1988), 701-713. Zbl0673.12004MR952288
  12. [12] R. Shaw: Linear algebra and group representations, Academic Press (1983). Zbl0495.15001MR701854
  13. [13] J.H. Silverman: The arithmetic of elliptic curves, Springer-Verlag (1986). Zbl0585.14026MR817210
  14. [14] J. Tate: Duality theorems in Galois cohomology over number fields, Proc. Intern. Congress Math., Stockholm (1962), 234-241. Zbl0126.07002MR175892
  15. [15] E. Weiss: Cohomology of groups, Academic Press (1969). Zbl0192.34204MR263900

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