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arXiv · 1705.06249

A relative version of Gieseker's problem on stratifications in characteristic $p>0$

Hélène Esnault·Vasudevan Srinivas
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Abstract

We prove that the vanishing of the functoriality morphism for the \'etale fundamental group between smooth projective varieties over an algebraically closed field of characteristic $p>0$ forces the same property for the fundamental groups of stratifications. 2nd version: Acknowledgement added.

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Hélène Esnault, Vasudevan Srinivas. 2017-05-17. A relative version of Gieseker's problem on stratifications in characteristic $p>0$. https://arxiv.org/abs/1705.06249

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