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On the anticyclotomic Iwasawa main conjecture for modular forms

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

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 chida@math.kyoto-u.ac.jp
Ming-Lun Hsieh
Affiliation:
Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan email mlhsieh@math.ntu.edu.tw
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Abstract

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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