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EnglishWe present constructive algorithms to determine the topological type of a non-singular orientable real algebraic projective surface S in the real projective space, starting from a polynomial equation with rational coefficients for S. We address this question when there exists a line in RP3 not intersecting the surface, which is a decidable problem; in the case of quartic surfaces, when this condition is always fulfilled, we give a procedure to find a line disjoint from the surface. Our algorithm computes the homology of the various connected components of the surface in a finite number of steps, using as a basic tool Morse theory. The entire procedure has been implemented in Axiom.
| Autori interni: | |
| Autori: | FORTUNA E; GIANNI P; PARENTI P; TRAVERSO C |
| Titolo: | Algorithms to compute the topology of orientable real algebraic surfaces |
| Anno del prodotto: | 2003 |
| Digital Object Identifier (DOI): | 10.1016/S0747-7171(03)00085-3 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11568/184389
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