On Nori's Fundamental Group Scheme

Details On Nori's Fundamental Group Scheme On Nori's Fundamental Group Scheme

2006-05-24

arxiv.org/abs/math/0605645v3

Mathematics

Algebraic Geometry

29 pages

Scientific paper

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).

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