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We follow the pattern in [14, Section 4] to define an action of the etale fundamental group schemeπ    e  ́   t(  X  )on the local component of the essentially finite fundamental group scheme    π  (  X  )    of Nori. We show that the associated representation is faithful when  X  is a curve of genus ⩾2.

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