Displaying similar documents to “Representation of a prime as the sum of squares in a tower of fields.”

Growth of Selmer groups of Hilbert modular forms over ring class fields

Jan Nekovář (2008)

Annales scientifiques de l'École Normale Supérieure

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We prove non-trivial lower bounds for the growth of ranks of Selmer groups of Hilbert modular forms over ring class fields and over certain Kummer extensions, by establishing first a suitable parity result.