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Lefschetz Properties : Current and New Directions - Karim Adiprasito

Lefschetz Properties

Current and New Directions

By: Karim Adiprasito (Editor), Uwe Nagel (Editor), Satoshi Murai (Editor), Sara Faridi (Editor), Roberta Di Gennaro (Editor)

Hardcover | 1 October 2024 | Edition Number 2024

At a Glance

Hardcover
236 Pages

Dimensions(cm)
23.5 x 15.5

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$279.00

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The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or matroids. Furthermore, there are connections to other branches of mathematics, for example, commutative algebra, algebraic topology, and combinatorics. Important results in this area have been obtained by finding unexpected connections between apparently different topics.

A conference in Cortona, Italy in September 2022 brought together researchers discussing recent developments and working on new problems related to the Lefschetz properties. The book will feature surveys on several aspects of the theory as well as articles on new results and open problems.

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