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• W2104223485 abstract "Let f1, ldots, fs be polynomials in Q[X1, ..., Xn] that generate a radical ideal and let V be their complex zero-set. Suppose that V is smooth and equidimensional; then we show that computing suitable sections of the polar varieties associated to generic projections of V gives at least one point in each connected component of V ∩ Rn. We deduce an algorithm that extends that of Bank, Giusti, Heintz and Mbakop to non-compact situations. Its arithmetic complexity is polynomial in the complexity of evaluation of the input system, an intrinsic algebraic quantity and a combinatorial quantity." @default.
• W2104223485 created "2016-06-24" @default.
• W2104223485 creator A5041679295 @default.
• W2104223485 creator A5048254079 @default.
• W2104223485 date "2003-08-03" @default.
• W2104223485 modified "2023-10-06" @default.
• W2104223485 title "Polar varieties and computation of one point in each connected component of a smooth real algebraic set" @default.
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• W2104223485 doi "https://doi.org/10.1145/860854.860901" @default.
• W2104223485 hasPublicationYear "2003" @default.
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