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 (Unpublished)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 |
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| Department or Research center: | Mathematics |
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| Subjects: | UNSPECIFIED |
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| Additional Information: | This research was partially supported by M.I.U.R. and by Eurocontract HPRN-CT-2001-00271. |
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| Report Number: | UTM 687, July 2005 |
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| Repository staff approval on: | 27 Jul 2005 |
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