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• W2950150194 abstract "Let $S_0$ be a smooth and compact real variety given by a reduced regular sequence of polynomials $f_1, ..., f_p$. This paper is devoted to the algorithmic problem of finding {em efficiently} a representative point for each connected component of $S_0$ . For this purpose we exhibit explicit polynomial equations that describe the generic polar varieties of $S_0$. This leads to a procedure which solves our algorithmic problem in time that is polynomial in the (extrinsic) description length of the input equations $f_1, >..., f_p$ and in a suitably introduced, intrinsic geometric parameter, called the {em degree} of the real interpretation of the given equation system $f_1, >..., f_p$." @default.
• W2950150194 created "2019-06-27" @default.
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• W2950150194 date "2000-05-04" @default.
• W2950150194 modified "2023-10-01" @default.
• W2950150194 title "Polar Varieties and Efficient Real Elimination" @default.
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