UID:
almahu_9949864947902882
Format:
X, 225 p. 19 illus., 1 illus. in color.
,
online resource.
Edition:
1st ed. 2024.
ISBN:
9789819738861
Series Statement:
Springer INdAM Series, 59
Content:
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.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9789819738854
Additional Edition:
Printed edition: ISBN 9789819738878
Additional Edition:
Printed edition: ISBN 9789819738885
Language:
English
DOI:
10.1007/978-981-97-3886-1
URL:
https://doi.org/10.1007/978-981-97-3886-1
URL:
Volltext
(URL des Erstveröffentlichers)