Simply connected projective manifolds in characteristic $p>0$ have no nontrivial stratified bundles

Mathematics – Algebraic Geometry

Scientific paper

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16 pages. Revised version contains a more general theorem on torsion points on moduli, together with an illustration in rank 2

Scientific paper

We show that simply connected projective manifolds in characteristic $p>0$
have no nontrivial stratified bundles. This gives a positive answer to a
conjecture by D. Gieseker. The proof uses Hrushovski's theorem on periodic
points.

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