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On the Selmer group attached to a modular form and an algebraic Hecke character (1503.02485v3)
Published 9 Mar 2015 in math.NT
Abstract: We construct an Euler system of generalized Heegner cycles to bound the Selmer group associated to a modular form and an algebraic Hecke character. The main argument is based on Kolyvagin's machinery explained by Gross while the key object of the Euler system, the generalized Heegner cycles, were first considered by Bertolini, Darmon and Prasanna.
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