Polar hypersurface

In algebraic geometry, given a projective algebraic hypersurface C described by the homogeneous equation

and a point

its polar hypersurface P_a(C) is the hypersurface

where ƒ_i are the partial derivatives.

The intersection of C and P_a(C) is the set of points p such that the tangent at p to C meets a.

单词	Polar hypersurface
释义	Polar hypersurface 英语百科 Polar hypersurface In algebraic geometry, given a projective algebraic hypersurface C described by the homogeneous equation and a point its polar hypersurface P_a(C) is the hypersurface where ƒ_i are the partial derivatives. The intersection of C and P_a(C) is the set of points p such that the tangent at p to C meets a.
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