The Fundamental Group Scheme of a non Reduced Scheme

Details The Fundamental Group Scheme of a non Reduced Scheme The Fundamental Group Scheme of a non Reduced Scheme

2010-11-25

arxiv.org/abs/1011.5596v2

Mathematics

Algebraic Geometry

Final version, 11 pages, minor changes

Scientific paper

10.1016/j.bulsci.2011.02.00

We extend the definition of fundamental group scheme to non reduced schemes
over any connected Dedekind scheme. Then we compare the fundamental group
scheme of an affine scheme with that of its reduced part.

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