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On the anticyclotomic Iwasawa main conjecture for modular forms

Part of: Discontinuous groups and automorphic forms Algebraic number theory: global fields

Published online by Cambridge University Press:  27 November 2014

Masataka Chida  and
Ming-Lun Hsieh
Masataka Chida
Affiliation:
Department of Mathematics, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan email [email protected]
Ming-Lun Hsieh
Affiliation:
Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan email [email protected]
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Abstract

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We generalize the work of Bertolini and Darmon on the anticyclotomic main conjecture for elliptic curves to modular forms of higher weight.

Keywords

Iwasawa main conjecturemodular forms

MSC classification

Primary: 11R23: Iwasawa theory
Secondary: 11F67: Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
Type
Research Article
Information
Compositio Mathematica , Volume 151 , Issue 5 , May 2015 , pp. 863 - 897
Copyright
© The Authors 2014 

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