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- W2891715621 abstract "We prove the first cases of a conjecture by Darmon--Rotger on the non-vanishing of generalized Kato classes attached to elliptic curves $E$ over $mathbf{Q}$ of rank $2$. Our method also shows that the non-vanishing of generalized Kato classes implies that the $p$-adic Selmer group of $E$ is $2$-dimensional. The main novelty in the proof is a formula for the leading term at the trivial character of an anticyclotomic $p$-adic $L$-function attached to $E$ in terms of the derived $p$-adic height of generalized Kato classes and an enhanced $p$-adic regulator." @default.
- W2891715621 created "2018-09-27" @default.
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- W2891715621 date "2018-09-24" @default.
- W2891715621 modified "2023-09-27" @default.
- W2891715621 title "On the non-vanishing of generalized Kato classes for elliptic curves of rank $2$" @default.
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