The Lefschetz Properties

This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the las...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Harima, Tadahito (Autor), Maeno, Toshiaki (Autor), Morita, Hideaki (Autor), Numata, Yasuhide (Autor), Wachi, Akihito (Autor), Watanabe, Junzo (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Lecture Notes in Mathematics, 2080
Temas:
Algebra.
Algebraic geometry.
Discrete mathematics.
Algebraic Geometry.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction and Historical Note
  • 1. Poset Theory
  • 2. Basics on the Theory of Local Rings
  • 3. Lefschetz Properties
  • 4. Compete Intersections with the SLP
  • 5. A Generalization of Lefschetz Elements
  • 6. k-Lefschetz Properties
  • 7. Cohomology Rings
  • 8.  Invariant Theory and Lefschetz Property
  • 9. The Strong Lefschetz Property and the Schur-Weyl Duality.  .

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