Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles
classification
🧮 math.AG
keywords
bundlescharacteristicconnectedmanifoldsnontrivialprojectivesimplystratified
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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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