Constructive topological classification of real algebraic surfaces

Fortuna, E. and Gianni, P. and Luminati, D. (2003) Constructive topological classification of real algebraic surfaces. UNSPECIFIED. (Unpublished)

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    Abstract

    We presents an algorithm to compute the topology of a non-singular real algebraic surfaces S in RP3, that is the number of its connected components and a topological model for each of them. Our strategy consists in computing the Euler characteristic of each connected component by means of Morse-type investigation of S or of a suitably constructed compact affine surface. This procedure can be used to determine the topological type of an arbitrary non-singular surface; in particular it extends an existing algorithm applicable only to surfaces disjoint from a line.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA611 Topology
    Report Number: UTM 655, November 2003
    Repository staff approval on: 18 May 2005

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