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

Hélène Esnault and Vikram Mehta

Number | 39 |
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Author | Hélène Esnault |

Year | 2009 |

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 (1975). The proof uses Hrushovski's theorem on periodic points.