The Lefschetz Properties

• 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: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2080
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Combinatorics.; Algebraic Geometry.

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...