Given a real algebraic surface S in RP3RP3, we propose a procedure to determine the topology of S and to compute non-trivial topological invariants for the pair (RP3,S)(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 labeled 2-adjacency graph of the surface.
Computation of topological invariants for real projective surfaces with isolated singularities
FORTUNA, ELISABETTA;GIANNI, PATRIZIA;
2014-01-01
Abstract
Given a real algebraic surface S in RP3RP3, we propose a procedure to determine the topology of S and to compute non-trivial topological invariants for the pair (RP3,S)(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 labeled 2-adjacency graph of the surface.File in questo prodotto:
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