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.

Constructive topological classification of real algebraic surfaces / Fortuna, E.; Luminati, D.; Gianni, P.. - ELETTRONICO. - (2003), pp. 1-18.

Constructive topological classification of real algebraic surfaces

Luminati, D.;
2003-01-01

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.
2003
Trento, Italia
Università degli Studi di Trento. Dipartimento di Matematica
Constructive topological classification of real algebraic surfaces / Fortuna, E.; Luminati, D.; Gianni, P.. - ELETTRONICO. - (2003), pp. 1-18.
Fortuna, E.; Luminati, D.; Gianni, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/359177
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