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8 - Intertwining of ramified and unramified zeros of Iwasawa modules

Published online by Cambridge University Press:  05 October 2014

Chandrashekhar Khare
Affiliation:
Department of Mathematics, UCLA, Los Angeles
Jean-Pierre Wintenberger
Affiliation:
Université de Strasbourg
Fred Diamond
Affiliation:
King's College London
Payman L. Kassaei
Affiliation:
King's College London
Minhyong Kim
Affiliation:
University of Oxford
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Publisher: Cambridge University Press
Print publication year: 2014

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References

[1] Joël, Bellaiche. An introduction to the conjecture of Bloch and Kato. Lectures at the Clay Mathematical Institute summer School, Honolulu, Hawaii, 2009.
[2] Spencer, Bloch, Kazuya, Kato. L-functions and Tamagawa numbers of motives. The Grotendieck Festschrift, vol. 1, 333-400, Prog. Math. 86, Birkhäuser Boston, Boston, MA, 1990.
[3] Kenkichi, Iwasawa. On ℤℓ -extensions of algebraic number fields. Ann. of Math. (2) 98 (1973), 246–326.Google Scholar
[4] Uwe, Jannsen. On the ℓ-adic cohomology of varieties over number fields and its Galois cohomology, in Galois groups over ℚ (Berkeley, CA, 1987), 315–360, Math. Sci. Res. Inst. Publ., 16, Springer, New York, 1989.
[5] Chandrashekhar, Khare, Jean-Pierre, Wintenberger. Ramification in Iwasawa modules and splitting conjectures. To appear in International Mathematics Research Notices.
[6] Jürgen, Neukirch. Cohomology of number fields. 2nd edition. Grundlehren des mathematischen Wissenschaften, 323, Springer, 2008.
[7] Christophe, Soulé. On higher p-adic regulators, in Algebraic K -theory. Evanston 1980 Lecture Notes in Math., 854, Springer, 1981.
[8] Andrew, Wiles. The Iwasawa conjecture for totally real fields. Ann. of Math. (2) 131 (1990), no. 3, 493–540.Google Scholar

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