Lefschetz Properties: Current and New Directions
Lefschetz Properties: Current and New Directions
English | 2024 | ISBN: 9819738857 | 235 Pages | PDF EPUB (True) | 18 MB
English | 2024 | ISBN: 9819738857 | 235 Pages | PDF EPUB (True) | 18 MB
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.