Vol. 8, No. 4, 2014

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Étale contractible varieties in positive characteristic

Armin Holschbach, Johannes Schmidt and Jakob Stix

Vol. 8 (2014), No. 4, 1037–1044
Abstract

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.

Keywords
étale homotopy theory, étale contractible
Mathematical Subject Classification 2010
Primary: 14F35
Milestones
Received: 31 October 2013
Revised: 3 December 2013
Accepted: 22 January 2014
Published: 10 August 2014
Authors
Armin Holschbach
Mathematisches Institut
Universität Heidelberg
Im Neuenheimer Feld 288
69120 Heidelberg
Germany
Johannes Schmidt
Mathematisches Institut
Universität Heidelberg
Im Neuenheimer Feld 288
69120 Heidelberg
Germany
Jakob Stix
Institut für Mathematik
Johann Wolfgang Goethe-Universität
Robert-Mayer-Strasse 6-8
60325 Frankfurt am Main
Germany