On adjoint Bloch–Kato Selmer groups for $$\textrm{GSp}_{2g}$$

Abstract

AbstractWe study the adjoint Bloch–Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with $$\textrm{GSp}_{2g}$$ GSp 2 g . 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.