Slash distribution

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

$f(x_0,x_1,x_2,\dots )=0$

and a point

$a=(a_0:a_1:a_2:\dots ),$

its polar hypersurface P_a(C) is the hypersurface

$a_0{f}_0+a_1{f}_1+a_2{f}_2+\cdots =0,$

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.

References

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