### Abstract

Let X and Y be affine nonsingular real algebraic varieties. A general problem in real algebraic geometry is to try to decide when a continuous map f : X → Y can be approximated by regular maps in the space of script c sign^{0} mappings from X to Y, equipped with the script c sign^{0} topology. This paper solves this problem when X is the connected component containing the origin of the real part of a complex Abelian variety and Y is the standard 2-dimensional sphere.

Original language | English (US) |
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Pages (from-to) | 79-84 |

Number of pages | 6 |

Journal | Bulletin of the London Mathematical Society |

Volume | 35 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2003 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Joglar-Prieto, N., & Kollár, J. (2003). Real abelian varieties with many line bundles.

*Bulletin of the London Mathematical Society*,*35*(1), 79-84. https://doi.org/10.1112/S0024609302001509