Year: 2023
Type: preprint
Abstract: Let $G_{\mathbb{Q}_p}$ be the absolute Galois group of $\mathbb{Q}_p$ and let $L$ be a finite extension of $\mathbb{Q}_p$. Moreover let $\barρ:G_{\mathbb{Q}_p}\rightarrow GL_n(k_L)$ be a continous representation of $G_{\mathbb{Q}_p}$, where $k_L$ is the residue field of $L$ and $n$ is a natural number greater than $1$. We find sufficient conditions for which a trianguline representation $ρ:G_{\mathbb{Q}_p}\rightarrow GL_n(L)$ lifting $\barρ$ is a point of the trianguline variety associated to $\barρ$.
Source: arXiv (Cornell University)
Author: Fruttidoro, Martina
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4388093539