Lefschetz Properties Current and New Directions /
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 c...
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| Korporativní autor: | |
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| Další autoři: | , , , , |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Vydání: | 1st ed. 2024. |
| Edice: | Springer INdAM Series,
59 |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-981-97-3886-1 |
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| Shrnutí: | 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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| Fyzický popis: | X, 225 p. 19 illus., 1 illus. in color. online resource. |
| ISBN: | 9789819738861 |
| ISSN: | 2281-5198 ; |
| DOI: | 10.1007/978-981-97-3886-1 |