Lefschetz Properties Current and New Directions |
|
| Editor:
| Nagel, Uwe
Adiprasito, Karim
Di Gennaro, Roberta
Faridi, Sara
Murai, Satoshi |
| Series title: | Springer INdAM Ser. |
| ISBN: | 978-981-97-3885-4 |
| Publication Date: | Aug 2024 |
| Publisher: | Springer
|
| Book Format: | Hardback |
| List Price: | USD $199.99 |
Book Description:
|
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...
More Description
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.