Difference between revisions 7734619 and 8059281 on simplewiki

{{complex|date=February 2012}}
{{Orphan|date=February 2012}}
In [[number theory]], '''Iwasawa theory''' is a [[Galois module]] theory of [[ideal class group]]s, started by [[Kenkichi Iwasawa]], in the 1950s, as part of the theory of [[cyclotomic field]]s. In the early 1970s, [[Barry Mazur]] thought about generalizations of Iwasawa theory to Abelian Varieties. Later, in the early 90s, [[Ralph Greenberg]] has suggested an Iwasawa theory for [[motive (algebraic geometry)|motives]](contracted; show full)
* Lang, S., ''Cyclotomic Fields'', Springer-Verlag, 1978
* Washington, L., ''Introduction to Cyclotomic Fields, 2nd edition'', Springer-Verlag, 1997
* {{cite journal | author = [[Barry Mazur]] and [[Andrew Wiles]]| year = 1984 |  title = ''Class Fields of Abelian Extensions of Q'' | journal = Inventiones Mathematicae | volume = 76 | issue = 2 | pages = 179
-–330 | doi = 10.1007/BF01388599 | bibcode = 1984InMat..76..179M | s2cid = 122576427 }}
* {{cite journal | author = [[Andrew Wiles]]| year = 1990 |  title = ''The Iwasawa Conjecture for Totally Real Fields'' | url = https://archive.org/details/sim_annals-of-mathematics_1990-05_131_3/page/493| journal = Annals of Mathematics | volume = 131 | issue = 3 | pages = 493-–540 | doi = 10.2307/1971468 | jstor = 1971468 }}
* {{cite journal | author = [[Chris Skinner]] and [[Eric Urban]]| year = 2002 |  title = ''Sur les deformations p-adiques des formes de Saito-Kurokawa'' | journal = C. R. Math. Acad. Sci. Paris | volume =335 | issue = 7 | pages = 581-–586 | doi = 10.1016/S1631-073X(02)02540-2 }}

[[Category:Number theory]]