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 method adapted by Bertolini and Darmon (J Reine Angew Math 412:63–74, 1990 ) and by Nekovář (Invent Math 107(1...
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| Veröffentlicht in: | The Ramanujan journal 2018, Vol.45 (1), p.141-169 |
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| container_title | The Ramanujan journal |
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| creator | Elias, Yara |
| 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 method adapted by Bertolini and Darmon (J Reine Angew Math 412:63–74,
1990
) and by Nekovář (Invent Math 107(1):99–125,
1992
), while the key object of the Euler system, the generalized Heegner cycles were first considered by Bertolini et al. (Duke Math J 162(6):1033–1148,
2013
). |
| doi_str_mv | 10.1007/s11139-016-9866-1 |
| format | Article |
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1990
) and by Nekovář (Invent Math 107(1):99–125,
1992
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2013
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1990
) and by Nekovář (Invent Math 107(1):99–125,
1992
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2013
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1990
) and by Nekovář (Invent Math 107(1):99–125,
1992
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2013
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| subjects | Algebra Analytic functions Automotive parts Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Modular construction Number Theory |
| title | On the Selmer group attached to a modular form and an algebraic Hecke character |
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