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Introduction

Chapter
Part of the Progress in Mathematics book series (PM, volume 182)

Abstract

The study of Schubert varieties arising out of 19th century classical projective geometry took on a more modern treatment with the work of Ehresmann, then Chevalley, and later Bernstein, Gelfand, Gelfand and Demazure. Schubert varieties are now some of the best understood examples of complex projective varieties in the literature. Therefore, they play an important role in current mathematical research. Outside of mathematics, their applications appear in physics [85] and computer graphics [154, 153].

Keywords

Irreducible Component Singular Locus Smooth Point Schubert Variety Flag Variety 
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 2000

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Department of MathematicsNortheastern UniversityBostonUSA

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