Weak Density of the Fundamental Group Scheme

Mathematics – Algebraic Geometry

Scientific paper

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8 pages

Scientific paper

On $X$ projective smooth over an algebraically closed field, we show that if
Nori's fundamental group scheme is trivial, then there are no nontrivial Nori
semistable bundles of degree 0, that is the group scheme $\pi^S(X)$ studied in
particular by Langer is trivial.

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