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 (Unpublished)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