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math.AG2013
Existence of rational points as a homotopy limit problem
Gereon Quick
We show that the existence of rational points on smooth varieties over a field can be detected using homotopy fixed points of etale topological types under the Galois action. As ou…
math.AG2013★ 2 cited
Homotopy theory of smooth compactifications of algebraic varieties
Gereon Quick
In this short note we show that the homotopy category of smooth compactifications of smooth algebraic varieties is equivalent to the homotopy category of smooth varieties over a fi…