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## ag.algebraic geometry – Is the unipotent part map of hyperbolic spherical over native bailiwick injective?

Let $X/mathbb{Z}_p$ breathe a light-weight hyperbolic spherical and $pi^{un}_1(X_{overline{mathbb{Q}_p}},b)$ denotes the pro-unipotent completion(over $mathbb{Q}_p$) of the etale basic group of $X$ foundation modified to $overline{mathbb{Q}_p}$ based mostly at some extent $bin X(mathbb{Z}_p)$. Then we maintain a map from $X(mathbb{Z}_p)$ to $H^1(Gal(overline{mathbb{Q}_p}/mathbb{Q}_p),pi^{un}_1(X_{overline{mathbb{Q}_p}},b))$ by sending $xin X(mathbb{Z}_p)$ to the (cohomology class of) path torsor $P(b,x)$.

My questions is: is that this map all the time injective?

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