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Abstract
Given two nonsingular real algebraic varieties V and W, we consider the problem of deciding whether a smooth map f : V → W can be approximated by regular maps in the space of 𝒞∞ mappings from V to W in the 𝒞∞ topology. 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.
Received: 2004-01-12
Revised: 2004-03-04
Published Online: 2006-05-17
Published in Print: 2006-03-24
© Walter de Gruyter
