The Grassmannian Variety Geometric and Representation-Theoretic Aspects /

• Κύριοι συγγραφείς: Lakshmibai, V. (Συγγραφέας), Brown, Justin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Developments in Mathematics, 42
• Θέματα: Mathematics.; Algebraic geometry.; Algebraic topology.; Combinatorics.; Algebraic Geometry.; Algebraic Topology.

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geomet...

Πίνακας περιεχομένων:

• Preface
• 1. Introduction
• Part I. Algebraic Geometry—A Brief Recollection - 2. Preliminary Material
• 3. Cohomology Theory
• 4. Gröbner Bases
• Part II. Grassmannian and Schubert Varieties
• 5. The Grassmannian and Its Schubert Varieties
• 6. Further Geometric Properties of Schubert Varieties
• 7. Flat Degenerations
• Part III. Flag Varieties and Related Varieties
• 8. The Flag Variety: Geometric and Representation-Theoretic Aspects
• 9. Relationship to Classical Invariant Theory
• 10. Determinantal Varieties
• 11. Related Topics
• References
• List of Symbols
• Index.