Lefschetz Properties : Current and New Directions
2024 ed.
Book Details
Format
Hardback or Cased Book
Book Series
Springer INdAM Series
ISBN-10
9819738857
ISBN-13
9789819738854
Edition
2024 ed.
Publisher
Springer Verlag, Singapore
Imprint
Springer Verlag, Singapore
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 31st, 2024
Print length
225 Pages
Product Classification:
Algebraic topology
Ksh 28,800.00
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The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds.
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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