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arXiv · 1002.0024

Surface singularities dominated by smooth varieties

Hélène Esnault·Eckart Viehweg
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Abstract

We give a version in characteristic $p>0$ of Mumford's theorem characterizing a smooth complex germ of surface $(X,x)$ by the triviality of the topological fundamental group of $U=X\setminus \{x\}$. This note relies on discussions the authors had during the Christmas break 2009/10 in Ivry. They have been written down by Hélène in the night when Eckart died, as a despaired sign of love.

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Hélène Esnault, Eckart Viehweg. 2010-01-29. Surface singularities dominated by smooth varieties. https://arxiv.org/abs/1002.0024

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