Plain Varieties

Details Plain Varieties Plain Varieties

2008-10-14

arxiv.org/abs/0810.2379v1

Mathematics

Algebraic Geometry

Scientific paper

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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