International Mathematics Research Notices Advance Access originally published online on January 14, 2009
International Mathematics Research Notices (2009) 2009:912-952, doi:10.1093/imrn/rnn151 published on March 4, 2009
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Quadratic Exercises in Iwasawa Theory
Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095-1555 USA
Correspondence: Correspondence to be sent to: hida{at}math.ucla.edu
The anticyclotomic main conjecture for CM fields was proven in 2006 under some restrictive conditions. In this paper, we remove the assumption on the conductor of the blanch character, and therefore, the conjecture is now proven to be true under very mild conditions.