On adjoint Bloch--Kato Selmer groups for $\mathrm{GSp}_{2g}$

Ju-Feng Wu

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arXiv · 2107.12929

On adjoint Bloch--Kato Selmer groups for $\mathrm{GSp}_{2g}$

Ju-Feng Wu

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Abstract

We study the adjoint Bloch--Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with $\mathrm{GSp}_{2g}$. Our strategy is based on the study of families of Galois representations on the eigenvariety, which is inspired by the book of J. Bellaiche and G. Chenevier.

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Ju-Feng Wu. 2021-07-27. On adjoint Bloch--Kato Selmer groups for $\mathrm{GSp}_{2g}$. https://arxiv.org/abs/2107.12929

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