Abstract
AbstractLet X be a compact nonsingular real algebraic variety and let Y be either the blowup of along a linear subspace or a nonsingular hypersurface of of bidegree (1, 1). It is proved that a C1 map f : X → Y can be approximated by regular maps if and only if , where is the subgroup of H1(X, Z/2) generated by the cohomology classes of algebraic hypersurfaces in X. This follows from another result on maps into generalized flag varieties.
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