Lefschetz Properties: Current and New Directions

Author:   Uwe Nagel ,  Karim Adiprasito ,  Roberta Di Gennaro ,  Sara Faridi
Publisher:   Springer Verlag, Singapore
Edition:   2024 ed.
Volume:   59
ISBN:  

9789819738854


Pages:   225
Publication Date:   31 August 2024
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Lefschetz Properties: Current and New Directions


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Overview

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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Author:   Uwe Nagel ,  Karim Adiprasito ,  Roberta Di Gennaro ,  Sara Faridi
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Nature
Edition:   2024 ed.
Volume:   59
ISBN:  

9789819738854


ISBN 10:   9819738857
Pages:   225
Publication Date:   31 August 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Survey articles about specific topics.- Jordan types and relation with WLP/SLP.- Unexpected objects, connections with Lefschetz properties and special sets of points.- Combinatorial aspects.- Working group on Perazzo hypersurfaces Hilbert functions, WLP, Jordan types.

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