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arxiv: 1310.2784 · v2 · pith:4BSDJOQ6new · submitted 2013-10-10 · 🧮 math.AG

\'Etale contractible varieties in positive characteristic

classification 🧮 math.AG
keywords characteristiccontractibleetalevarietiesalgebraicallyclosedfieldhomotopy
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Unlike in characteristic 0, there are no non-trivial smooth varieties over an algebraically closed field k of characteristic p>0 that are contractible in the sense of etale homotopy theory.

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