Article Dans Une Revue Rendiconti del Seminario Matematico della Università di Padova Année : 2023

Residual supersingular Iwasawa theory and signed Iwasawa invariants

Résumé

For an odd prime $p$ and a supersingular elliptic curve over a number field, this article introduces a fine signed residual Selmer group, under certain hypotheses on the base field. This group depends purely on the residual representation at $p$, yet captures information about the Iwasawa theoretic invariants of the signed $p^\infty$-Selmer group that arise in supersingular Iwasawa theory. Working in this residual setting provides a natural framework for studying congruences modulo $p$ in Iwasawa theory.

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hal-02379955 , version 1 (26-11-2019)

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Filippo Alberto Edoardo Nuccio Mortarino Majno di Capriglio, Ramdorai Sujatha. Residual supersingular Iwasawa theory and signed Iwasawa invariants. Rendiconti del Seminario Matematico della Università di Padova, 2023, 149, pp.83-129. ⟨10.4171/RSMUP/111⟩. ⟨hal-02379955⟩
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