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Projective Dual Varieties and General Discriminants

  • Israel M. Gelfand
  • Mikhail M. Kapranov
  • Andrei V. Zelevinsky
Part of the Mathematics: Theory & Applications book series (MBC)

Abstract

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).

Keywords

Projective Space Projective Variety Dual Variety Smooth Point Projective Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Israel M. Gelfand
    • 1
  • Mikhail M. Kapranov
    • 2
  • Andrei V. Zelevinsky
    • 3
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of MathematicsNorthwestern UniversityEvanstonUSA
  3. 3.Department of MathematicsNortheastern UniversityBostonUSA

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