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- W2280774429 abstract "Our goal in this article is to give a proof of Perrin-Riou's conjecture (under reasonably mild hypotheses) on the non-vanishing of the $p$-adic Beilinson-Kato class associated to an elliptic curve $E_{/mathbb{Q}}$, when $E$ has ordinary (i.e., good ordinary or multiplicative) or supersingular reduction at $p$. This generalizes the forthcoming work of Bertolini and Darmon for a good ordinary prime $p$ and of Venerucci for a split multiplicative prime $p$. Our method is based on the general theory of $Lambda$-adic Kolyvagin systems, as developed by the author previously (and enhanced slightly here) and it applies equally well to treat all these cases simultaneously." @default.
- W2280774429 created "2016-06-24" @default.
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- W2280774429 date "2015-11-19" @default.
- W2280774429 modified "2023-09-27" @default.
- W2280774429 title "On a conjecture of Perrin-Riou" @default.
- W2280774429 hasPublicationYear "2015" @default.
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