Lefschetz Properties: Current and New Directions
暫譯: Lefschetz 性質：當前與新方向

Nagel, Uwe, Adiprasito, Karim, Di Gennaro, Roberta

Lefschetz Properties: Current and New Directions
  • 出版商: Springer
  • 出版日期: 2024-08-31
  • 售價: $7,920
  • 貴賓價: 9.5 折 $7,524
  • 語言: 英文
  • 頁數: 152
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 9819738857
  • ISBN-13: 9789819738854

    • 海外代購書籍(需單獨結帳)

商品描述

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.

商品描述(中文翻譯)

對於阿提尼環（Artinian algebras）Lefschetz 性質的研究是受到專案流形（projective manifolds）Lefschetz 理論的啟發。最近的發展顯示，Lefschetz 性質在原始幾何設定之外的重要案例，例如考克斯特群（Coxeter groups）或矩陣（matroids）。此外，這與數學的其他分支也有關聯，例如交換代數（commutative algebra）、代數拓撲（algebraic topology）和組合學（combinatorics）。在這個領域的重要結果是通過發現看似不同主題之間的意外聯繫而獲得的。

2022年9月在意大利科爾托納（Cortona）舉行的會議聚集了研究人員，討論最近的發展並研究與Lefschetz 性質相關的新問題。這本書將包含對該理論幾個方面的綜述，以及有關新結果和未解決問題的文章。

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