Comparison between the fundamental group scheme of a relative scheme and that of its generic fiber

Marco Antei

We show that the natural morphism $\varphi :{\pi }_1(X_{\eta },x_{\eta })\to {\pi }_1(X,x{)}_{\eta }$ between the fundamental group scheme of the generic fiber $X_{\eta }$ of a scheme $X$ over a connected Dedekind scheme an…