The Grassmannian Variety Geometric and Representation-Theoretic Aspects /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lakshmibai, V. (Autor), Brown, Justin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Developments in Mathematics, 42
Temas:
Algebraic geometry.
Algebraic topology.
Discrete mathematics.
Algebraic Geometry.
Algebraic Topology.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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