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Matteo Longo and
Stefano Vigni
On Bloch-Kato Selmer groups and Iwasawa theory of p-adic Galois representations
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print
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| Published: |
March 5, 2021. |
| Keywords: |
Selmer groups, Iwasawa theory, p-adic Galois representations, modular forms. |
| Subject: |
11R23, 11F80. |
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Abstract
A result due to R. Greenberg gives a relation between the cardinality of Selmer groups of elliptic curves over number fields and the characteristic power series of Pontryagin duals of Selmer groups over cyclotomic Zp-extensions at good ordinary primes p. We extend Greenberg's result to more general p-adic Galois representations, including a large subclass of those attached to p-ordinary modular forms of weight at least 4 and level Γ0(N) with
p ∤ N.
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| Acknowledgements
The authors are supported by PRIN 2017 "Geometric, algebraic and analytic methods in arithmetic" and by GNSAGA--INdAM.
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| Author information
Matteo Longo:
Dipartimento di Matematica
Universitá di Padova
Via Trieste 63, 35121 Padova, Italy
mlongo@math.unipd.it
Stefano Vigni:
Dipartimento di Matematica
Universitá di Genova
Via Dodecaneso 35, 16146 Genova, Italy
stefano.vigni@unige.it
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