On adjoint Bloch--Kato Selmer groups for GSp2g

Abstract

We study the adjoint Bloch--Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with GSp2g. 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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