The fundamental group scheme of a non-reduced scheme
Copyright policy )The fundamental group scheme of a non-reduced scheme
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.
Final version, 11 pages, minor changes
Mathematics(all), Group schemes, Torsors, Fundamental group scheme, Positive characteristic ground fields in algebraic geometry, Mathematics - Algebraic Geometry, torsor, FOS: Mathematics, 14L15 (Primary) 14G17 (Secondary), fundamental group scheme, Algebraic Geometry (math.AG)
Mathematics(all), Group schemes, Torsors, Fundamental group scheme, Positive characteristic ground fields in algebraic geometry, Mathematics - Algebraic Geometry, torsor, FOS: Mathematics, 14L15 (Primary) 14G17 (Secondary), fundamental group scheme, Algebraic Geometry (math.AG)
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