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Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two

Published online by Cambridge University Press:  20 November 2018

Jan Nekovář
Jan Nekovář*
Affiliation:
Université Pierre et Marie Curie (Paris 6), Institut de Mathématiques de Jussieu, Théorie des Nombres, Case 247, 4, place Jussieu, F-75252 Paris cedex 05, France email: [email protected]
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Abstract

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In this article we refine the method of Bertolini and Darmon $\left[ \text{BD}1 \right],\,\left[ \text{BD2} \right]$ and prove several finiteness results for anticyclotomic Selmer groups of Hilbert modular forms of parallel weight two.

Keywords

11G4011F4111G18Hilbert modular formsSelmer groupsShimura curves
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 3 , 01 June 2012 , pp. 588 - 668
Copyright
Copyright © Canadian Mathematical Society 2012

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