TY  - BOOK
AU  - Nagel,Uwe
AU  - Adiprasito,Karim
AU  - Di Gennaro,Roberta
AU  - Faridi,Sara
AU  - Murai,Satoshi
ED  - SpringerLink (Online service)
TI  - Lefschetz Properties: Current and New Directions 
T2  - Springer INdAM Series,
SN  - 9789819738861
AV  - QA612-612.8 
PY  - 2024///
CY  - Singapore
PB  - Springer Nature Singapore, Imprint: Springer
KW  - Algebraic topology
KW  - Algebraic Topology
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-981-97-3886-1
ER  -