On Nori's Fundamental Group Scheme
  We determine the quotient category which is the representation category of the kernel of the homomorphism from Nori's fundamental group scheme to its \'etale and local parts. Pierre Deligne pointed out an error in the first version of this article. We profoundly thank him, in particular for sending us his enlightning example reproduced in Remark 2.4 2). 
H\'el\`ene Esnault, Ph\`ung H\^o Hai and Xiaotao Sun