English

Real algebraic morphisms on 2-dimensional conic bundles

Algebraic Geometry 2009-03-31 v1

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 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.

Keywords

Cite

@article{arxiv.math/0310325,
  title  = {Real algebraic morphisms on 2-dimensional conic bundles},
  author = {Frederic Mangolte},
  journal= {arXiv preprint arXiv:math/0310325},
  year   = {2009}
}

Comments

11 pages