Zariski density of crystalline points on \GSp_2n-valued local deformation rings

2024/07/24 by Aoki, Kensuke · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2407.17005

Abstract

We introduce trianguline deformation spaces X_\tri (ρ) for a \GSp_2n-valued residual representation ρ \colon G_K → \GSp_2n (k), where k is a finite field of characteristic p > 0 and G_K is the absolute Galois group of a finite extension K / ℚ_p, and study their properties. We show Zariski density of the crystalline points on the rigid generic fiber \mathfrakX_ρ of the framed deformation space of ρ under some conditions.

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