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arXiv · 0907.3375

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

Hélène Esnault·Vikram Mehta
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Abstract

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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Hélène Esnault, Vikram Mehta. 2010-04-13. Simply connected projective manifolds in characteristic $p>0$ have no nontrivial stratified bundles. https://doi.org/10.1007/s00222-010-0250-2

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