On the Selmer group attached to a modular form and an algebraic Hecke character

On the Selmer group attached to a modular form and an algebraic Hecke character

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, we...

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Veröffentlicht in:arXiv.org 2016-10
1. Verfasser: Elias, Yara
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Algebra
Analytic functions
Automotive parts
Modular construction
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description 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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Analytic functions
Automotive parts
Modular construction
title On the Selmer group attached to a modular form and an algebraic Hecke character
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