书目名称 | Lefschetz Properties | 副标题 | Current and New Dire | 编辑 | Uwe Nagel,Karim Adiprasito,Satoshi Murai | 视频video | | 概述 | Presents an attractive and active research area.Features the breadth of the subject.Is a combination of surveys, new results, and open problems | 丛书名称 | Springer INdAM Series | 图书封面 |  | 描述 | .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.. | 出版日期 | Conference proceedings 2024 | 关键词 | Gorenstein algebra; Matroid; Unexpected hypersurface; Poincare ́duality algebra; Jordan type; Hodge-Riema | 版次 | 1 | doi | https://doi.org/10.1007/978-981-97-3886-1 | isbn_softcover | 978-981-97-3888-5 | isbn_ebook | 978-981-97-3886-1Series ISSN 2281-518X Series E-ISSN 2281-5198 | issn_series | 2281-518X | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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