2011-09-20Buch DOI: 10.18452/2807
On the intrinsic complexity of point finding in real singular hypersurfaces
Pardo, Luis Miguel
In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety. This procedure exploits geometric properties of generic polar varieties and its complexity is intrinsic with respect to the problem. In the present paper we introduce a natural construction that allows to tackle the case of a non–smooth real hypersurface by means of a reduction to a smooth complete intersection.
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