Real algebraic morphisms on 2-dimensional conic bundles
Résumé
Given two nonsingular real algebraicvarieties V and W, we consider the problem of deciding whether a smooth map f: V -> W can beapproximated by regular maps in the space ofsmooth maps from V to W. Our main result is a complete solution to this problem in case W is the usual 2-dimensional sphere and V is a real algebraic surface of negative Kodaira dimension.