A Relative Version of Gieseker's Problem on Stratifications in Characteristic p>0

Hélène Esnault; Vasudevan Srinivas

doi:10.1093/imrn/rnx281

A Relative Version of Gieseker's Problem on Stratifications in Characteristic p>0

Hélène Esnault
, Vasudevan Srinivas

Mathematics

Free University of Berlin

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove that the vanishing of the functoriality morphism for the étale 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.

Original language	English
Pages (from-to)	5635-5648
Number of pages	14
Journal	International Mathematics Research Notices
Volume	2019
Issue number	18
DOIs	https://doi.org/10.1093/imrn/rnx281
State	Published - Sep 13 2019

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title = "A Relative Version of Gieseker's Problem on Stratifications in Characteristic p>0",

abstract = "We prove that the vanishing of the functoriality morphism for the {\'e}tale 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.",

author = "H{\'e}l{\`e}ne Esnault and Vasudevan Srinivas",

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N2 - We prove that the vanishing of the functoriality morphism for the étale 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.

AB - We prove that the vanishing of the functoriality morphism for the étale 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.

UR - https://www.scopus.com/pages/publications/85060242367

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JO - International Mathematics Research Notices

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A Relative Version of Gieseker's Problem on Stratifications in Characteristic p>0

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