Real algebraic morphisms on 2-dimensional conic bundles

Details Real algebraic morphisms on 2-dimensional conic bundles Real algebraic morphisms on 2-dimensional conic bundles

2003-10-20

arxiv.org/abs/math/0310325v1

Advances in Geometry 6 (2006) 199-213

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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 smooth 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.

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