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Plain Varieties

Algebraic varieties which are locally isomorphic to open subsets of affine space will be called {\em plain}. Plain varieties are smooth and rational. The converse is true for curves and surfaces, and unknown in general. It is shown that plain varieties are stable under blowup in smooth centers.

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Co-authorshipCo-authorshipCo-authorshipCo-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipAuthorshipTopic signalWPlain Varietiespreprint / 2008AGábor BodnárResearcherAHerwig HauserResearcherAJosef SchichoResearcherAOrlando VillamayorResearcherTmath.AG5393 works
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Plain Varieties

preprint / 2008

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