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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.17005 |
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Table of Contents:
- We introduce trianguline deformation spaces $X_{\tri} (\overlineρ)$ for a $\GSp_{2n}$-valued residual representation $\overlineρ \colon {\mathcal{G}}_K \to \GSp_{2n} (k)$, where $k$ is a finite field of characteristic $p > 0$ and ${\mathcal{G}}_K$ is the absolute Galois group of a finite extension $K / {\mathbb{Q}}_p$, and study their properties. We show Zariski density of the crystalline points on the rigid generic fiber ${\mathfrak{X}}_{\overlineρ}$ of the framed deformation space of $\overlineρ$ under some conditions.