Singular Loci of Schubert Varieties
"Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Boston, MA
Birkhäuser
2000, 2000
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Edition: | 1st ed. 2000 |
Series: | Progress in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Generalities on G/B and G/Q
- 3. Specifics for the Classical Groups
- 4. The Tangent Space and Smoothness
- 5. Root System Description of T(w, ?)
- 6. Rational Smoothness and Kazhdan-Lusztig Theory
- 7. Nil-Hecke Ring and the Singular Locus of X(w)
- 8. Patterns, Smoothness and Rational Smoothness
- 9. Minuscule and cominuscule G/P
- 10. Rank Two Results
- 11. Related Combinatorial Results
- 12. Related Varieties
- 13. Addendum