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
Primary: 14F35