19 citations · 44 across the 24 of their papers we have counts for
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math.NT2020
On Bloch-Kato Selmer groups and Iwasawa theory of -adic Galois representations
Matteo Longo, Stefano Vigni
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…
math.NT2020★ 2 cited
-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves
Jeffrey Hatley, Antonio Lei, Stefano Vigni
Let be an odd prime and an imaginary quadratic field where splits. Under appropriate hypotheses, Bertolini showed that the Selmer group of a -ordinary elliptic curve…
math.NT2020
On Shafarevich-Tate groups and analytic ranks in families of modular forms, I. Hida families
Stefano Vigni
Let be a newform of weight , square-free level and trivial character, let be the abelian variety attached to and for every good ordinary prime for let $\bo…