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

Hélène Esnault; Vasudevan Srinivas

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

Algebraic Geometry 2017-05-26 v2

Authors: Hélène Esnault , Vasudevan Srinivas

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.

Keywords

Gieseker's problem stratifications étale fundamental group characteristic p smooth projective variety algebraic geometry fundamental group

Cite

@article{arxiv.1705.06249,
  title  = {A relative version of Gieseker's problem on stratifications in characteristic $p>0$},
  author = {Hélène Esnault and Vasudevan Srinivas},
  journal= {arXiv preprint arXiv:1705.06249},
  year   = {2017}
}

Comments

11 pages

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