English

On Nori's Fundamental Group Scheme

Algebraic Geometry 2019-05-20 v3

Abstract

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).

Keywords

Cite

@article{arxiv.math/0605645,
  title  = {On Nori's Fundamental Group Scheme},
  author = {Hélène Esnault and Phùng Hô Hai and Xiaotao Sun},
  journal= {arXiv preprint arXiv:math/0605645},
  year   = {2019}
}

Comments

29 pages

R2 v1 2026-07-22T17:36:29.272Z