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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Harima, Tadahito (Author), Maeno, Toshiaki (Author), Morita, Hideaki (Author), Numata, Yasuhide (Author), Wachi, Akihito (Author), Watanabe, Junzo (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Lecture Notes in Mathematics, 2080
Subjects:
Algebra.
Algebraic geometry.
Discrete mathematics.
Algebraic Geometry.
Discrete Mathematics.
Online Access:Texto Completo
Table of Contents:
  • 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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