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A.4.3 Polar curves

The polar curve of a hypersurface given by a polynomial with respect to (we may consider as a family of hypersurfaces parametrized by ) is defined as the Zariski closure of if this happens to be a curve. Some authors consider itself as polar curve.

We may consider projective hypersurfaces affine hypersurfaces or germs of hypersurfaces getting in this way projective, affine or local polar curves.

Now let us compute this for a family of curves. We need the library elim.lib for saturation and sing.lib for the singular locus.

 


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