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Étale contractible varieties in positive characteristic

Unlike in characteristic 0, there are no nontrivial smooth varieties over an algebraically closed field k of characteristic p>0 that are contractible in the sense of étale homotopy theory.

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Bibliographic Details
Main Authors: Holschbach, Armin (Author) , Schmidt, Johannes (Author) , Stix, Jakob (Author)
Format: Article (Journal)
Language:English
Published: 2014
In: Algebra & number theory
Year: 2014, Volume: 8, Issue: 4, Pages: 1037-1044
ISSN:1944-7833
DOI:10.2140/ant.2014.8.1037
Online Access:Verlag, Volltext: http://dx.doi.org/10.2140/ant.2014.8.1037
Verlag, Volltext: https://msp.org/ant/2014/8-4/p09.xhtml
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Author Notes:Armin Holschbach, Johannes Schmidt and Jakob Stix
Description
Summary:Unlike in characteristic 0, there are no nontrivial smooth varieties over an algebraically closed field k of characteristic p>0 that are contractible in the sense of étale homotopy theory.
Item Description:Gesehen am 06.04.2018
Physical Description:Online Resource
ISSN:1944-7833
DOI:10.2140/ant.2014.8.1037

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