Mathematics – Algebraic Geometry
Scientific paper
2010-01-29
Mathematics
Algebraic Geometry
9 pages
Scientific paper
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 H\'el\`ene in the night when Eckart died, as a despaired sign of love.
Esnault Hélène
Viehweg Eckart
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