ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMS
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DOI: 10.1017/s0004972721000976
Abstract: Let f be an elliptic modular form and p an odd prime that is coprime to the level of f. We study the link between divisors of the characteristic ideal of the p-primary fine Selmer… read more here.
Keywords: fine selmer; elliptic modular; modular forms; selmer ... See more keywords
On the Refined Conjectures on Fitting Ideals of Selmer Groups of Elliptic Curves with Supersingular Reduction
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DOI: 10.1093/imrn/rnz129
Abstract: In this paper, we study the Fitting ideals of Selmer groups over finite subextensions in the cyclotomic $\mathbb{Z}_p$-extension of $\mathbb{Q}$ of an elliptic curve over $\mathbb{Q}$. Especially, we present a proof of the “weak main… read more here.
Keywords: elliptic curves; fitting ideals; selmer groups; reduction ... See more keywords