Advertisement

Associated Varieties and General Resultants

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

Abstract

The Grassmann variety (or Grassmannian) G(k, n) is the set of all k-dimensional vector subspaces in C n . For k = 1, this is the projective space P n−1. Since vector subspaces in C n correspond to projective subspaces in P n−1, we see that G(k, n) parametrizes (k−1)-dimensional projective subspaces in P n−1. In a more invariant fashion, we can start from any finite-dimensional vector space V and construct the Grassmannian G(k, V) of k-dimensional vector subspaces in V.

Keywords

Vector Bundle Line Bundle Projective Space Spectral Sequence 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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations