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• W1943986114 abstract "An artinian graded algebra, $A$, is said to have the Weak Lefschetz property (WLP) if multiplication by a general linear form has maximal rank in every degree. A vast quantity of work has been done studying and applying this property, touching on numerous and diverse areas of algebraic geometry, commutative algebra, and combinatorics. Amazingly, though, much of this work has a common ancestor in a theorem originally due to Stanley, although subsequently reproved by others. In this expository paper we describe the different directions in which research has moved starting with this theorem, and we discuss some of the open questions that continue to motivate current research." @default.
• W1943986114 created "2016-06-24" @default.
• W1943986114 creator A5008482652 @default.
• W1943986114 creator A5019884106 @default.
• W1943986114 date "2011-09-26" @default.
• W1943986114 modified "2023-10-18" @default.
• W1943986114 title "A tour of the Weak and Strong Lefschetz Properties" @default.
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• W1943986114 doi "https://doi.org/10.48550/arxiv.1109.5718" @default.
• W1943986114 hasPublicationYear "2011" @default.
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