Fortuna, Elisabetta and Gianni, Patrizia and Luminati, Domenico (2005) *Effective methods to compute the topology of real algebraic surfaces with isolated singularities.* UNSPECIFIED. (Unpublished)

## Abstract

Given a real algebraic surface S in RP3, we propose a constructive procedure to determine the topology of S and to compute non-trivial topological invariants for the pair (RP3, S) under the hypothesis that the real singularities of S are isolated. In particular, starting from an implicit equation of the surface, we compute the number of connected components of S, their Euler characteristics and the weighted 2-adjacency graph of the surface.

Item Type: | Departmental Technical Report |

Department or Research center: | Mathematics |

Subjects: | UNSPECIFIED |

Additional Information: | This research was partially supported by M.I.U.R. and by Eurocontract HPRN-CT-2001-00271. |

Report Number: | UTM 687, July 2005 |

Repository staff approval on: | 27 Jul 2005 |
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