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Abstract: We give a version in characteristic $p>0$ of Mumford-s theorem characterizinga smooth complex germ of surface $X,x$ by the triviality of the topologicalfundamental group of $U=X\setminus \{x\}$.This note relies on discussions the authors had during the Christmas break2009-10 in Ivry. They have been written down by H\-el\`ene in the night whenEckart died, as a despaired sign of love.



Author: Hélène Esnault, Eckart Viehweg

Source: https://arxiv.org/



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