Résumé
The Schubert subvarieties provide a powerful inductive machinery for the study of flag varieties. The central theme of this book is the theory of Schubert varieties - their geometric properties, ideal theory, singularity theory.
This book also presents the relationship between Schubert varieties and certain affine varieties - classical determinantal varieties, ladder determinantal varieties, quiver varieties. varieties of complexes, certain affine toric varieties.
This book includes a detailed treatment of the classical determinantal varieties, their normality, Cohen-Macaulayness, singular loci, relationship to classical invariant theory : the treatment uses their relationship to Schubert varieties.
Contents
- Preliminaries.
- Algebraic groups.
- Generalities on G/B and G/Q.
- Representations of semisimple algebraic groups.
- The groups SL (n) and GL (n).
- The Grassmannian variety Gd, n.
- The flag variety.
- Singularities of Schubert varieties.
- Rational smoothness and Kazhdan-Lusztig theory.
- Degenerations of Schubert varieties to toric varieties.
- Some affine varieties related to Schubert varieties.
- The cohomology and homology of the flag variety.
Caractéristiques techniques du livre "Flag varieties"
| PAPIER | ||
| Éditeur(s) | Hermann | |
| Auteur(s) | N. Gonciuela, V. Lakshmibai | |
| Parution | 01/06/2001 | |
| Nb. de pages | 332 | |
| Format | 17 x 24 | |
| Couverture | Broché | |
| Poids | 631g | |
| Intérieur | Noir et Blanc | |
| EAN13 | 9782705663896 | |
| ISBN13 | 978-2-7056-6389-6 | |
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