Projective Dual Varieties and General Discriminants
We denote by P n the standard complex projective space of dimension n. Thus a point of P n is given by (n + 1) homogeneous coordinates (x 0:...: x n ), x i ∈ C, which are not all equal to 0 and are regarded modulo simultaneous multiplication by a non-zero number. More generally, if V is a finite-dimensional complex vector space, then we denote by P(V) the projectivization of V, i.e., the set of 1-dimensional vector subspaces in V. Thus P n = P(C n+1).
KeywordsProjective Space Projective Variety Dual Variety Smooth Point Projective Subspace
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