The action of the étale fundamental group scheme on the connected component of the essentially finite one

Abstract

We follow the pattern in a recent paper of Otabe [Ota15] to define an action of the étale fundamental group scheme ${\pi }^{\text{et}}(X)$ on the local component of the essentially finite fundamental group scheme ${\pi }^{\mathrm{EF}}(X)$ of Nori. We show that the associated representation is faithful when $X$ is a curve of genus $\ge 2$.

12 pages

References in corpus (1)

• An Extension of Nori Fundamental Group