Geodesic
When is a Distribution of Signs Locally Completable?
Canadian journal of mathematics, Tome 46 (1994) no. 3, pp. 449-473

Voir la notice de l'article provenant de la source Cambridge University Press

Let V be an irreducible nonsingular algebraic surface, Y ⊂ V be an algebraic curve and P a point of Y. Suppose a sign distribution is given locally in a neighbourhood of P on some connected components of V — Y. We give an algorithmic criterion to decide whether this sign distribution is induced by a regular function or not. As an application, this criterion enables one to decide whether two semialgebraic sets can be locally separated or not.
DOI : 10.4153/CJM-1994-024-2
Mots-clés : 14P10 
Acquistapace, F.; Broglia, F.; Fortuna, E. When is a Distribution of Signs Locally Completable?. Canadian journal of mathematics, Tome 46 (1994) no. 3, pp. 449-473. doi: 10.4153/CJM-1994-024-2
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