Fortuna, Elisabetta and Gianni, Patrizia and Luminati, Domenico and Parenti, Paola (2004) *The adjacency graph of a real algebraic surface.* UNSPECIFIED. (Unpublished)

## Abstract

The paper deals with the question of recognizing the mutual positions of the connected components of a non-singular real projective surface S in the real projective 3-space. We present an algorithm that answers this question through the computation of the adjacency graph of the surface; it also allows to decide whether each connected component is contractible or not. The algorithm, combined with a previous one returning as an output the topology of the surface, computes a set of data invariant up to ambient-homeomorphism which, though not sufficient to determine the pair (RP3; S), give information about the nature of the surface as an embedded object.

Item Type: | Departmental Technical Report |

Department or Research center: | Mathematics |

Subjects: | UNSPECIFIED |

Uncontrolled Keywords: | Real algebraic surfaces, adjacency graph, algorithms. |

Report Number: | UTM 671, July 2004 |

Repository staff approval on: | 18 May 2005 |
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