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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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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Quadratic Exercises in Iwasawa Theory

Haruzo Hida

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.


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