An explicit polynomial in p-adic elliptic polylogarithms contains the depth-3 Chabauty-Coleman-Kim set for rank-at-most-2 elliptic curves, conditional on non-vanishing of a p-adic L-function special value.
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Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
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p-adic elliptic polylogarithms and cubic Chabauty
An explicit polynomial in p-adic elliptic polylogarithms contains the depth-3 Chabauty-Coleman-Kim set for rank-at-most-2 elliptic curves, conditional on non-vanishing of a p-adic L-function special value.
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On the Bloch-Kato conjecture for GSp(4)
Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.