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

Nekovář, Jan

Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 588-668

Résumé

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.

Détail

DOI : 10.4153/CJM-2011-077-6

Mots-clés : 11G40, 11F41, 11G18, Hilbert modular forms, Selmer groups, Shimura curves

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