The work of Mazur and Wiles on cyclotomic fields
Séminaire Bourbaki (1980-1981)
- Volume: 23, page 220-242
- ISSN: 0303-1179
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topCoates, John. "The work of Mazur and Wiles on cyclotomic fields." Séminaire Bourbaki 23 (1980-1981): 220-242. <http://eudml.org/doc/109974>.
@article{Coates1980-1981,
author = {Coates, John},
journal = {Séminaire Bourbaki},
keywords = {cyclotomic fields; ideal class group; characteristic power series; Iwasawa's main conjecture; unramified extensions; Mazur and Wiles' main theorem; p-adic L-function},
language = {eng},
pages = {220-242},
publisher = {Springer-Verlag},
title = {The work of Mazur and Wiles on cyclotomic fields},
url = {http://eudml.org/doc/109974},
volume = {23},
year = {1980-1981},
}
TY - JOUR
AU - Coates, John
TI - The work of Mazur and Wiles on cyclotomic fields
JO - Séminaire Bourbaki
PY - 1980-1981
PB - Springer-Verlag
VL - 23
SP - 220
EP - 242
LA - eng
KW - cyclotomic fields; ideal class group; characteristic power series; Iwasawa's main conjecture; unramified extensions; Mazur and Wiles' main theorem; p-adic L-function
UR - http://eudml.org/doc/109974
ER -
References
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- [8] Iwasawa, K., On Zl-extensions of algebraic number fields, Ann. of Math.98(1973), 246-326. Zbl0285.12008MR349627
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- [12] Mazur, B., Rational isogenies of prime degree, Inventiones Math.44(1978), 129-162. Zbl0386.14009MR482230
- [13] Mazur, B., Wiles, A., Class fields of abelian extensions of Q , (to appear). Zbl0545.12005MR742853
- [14] Northcott, D., Finite Free Resolutions, Cambridge Tracts71, Cambridge, 1976. Zbl0328.13010MR460383
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- [16] Serre, J.-P., Classes des corps cyclotomiques, Séminaire Bourbaki, exp. 174, (1958/59). Zbl0119.27603
- [17] Serre, J.-P., Formes modulaires et fonctions zêta p-adiques, in Springer L. N.350(1973). Zbl0277.12014MR404145
- [18] Shimura, G., Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan11, IwanamiShoten and Princeton (1971). Zbl0221.10029MR314766
- [19] Soulé, C., K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inventiones Math.55(1979), 251-295. Zbl0437.12008MR553999
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