Abstract
Let X⊆ℙN=ℙ2nK be a subvariety of dimension n and P∈ℙN a generic point. If the tangent variety TanX is equal to ℙN then for generic points x, y of X the projective tangent spaces txX and tyX meet in one point P=P(x,y). The main result of this paper is that the rational map (x,y)↦P(x,y) is dominant. In other words, a generic point P is uniquely determined by the ramification locus R(πP) of the linear projection πP:X→ℙN−1.
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