Hyperplane Arrangements: An Introduction (Universitext)
暫譯: 超平面排列:入門(Universitext)

Alexandru Dimca

  • 出版商: Springer
  • 出版日期: 2017-04-07
  • 售價: $3,370
  • 貴賓價: 9.5$3,202
  • 語言: 英文
  • 頁數: 212
  • 裝訂: Paperback
  • ISBN: 3319562207
  • ISBN-13: 9783319562209
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject.

Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.

商品描述(中文翻譯)

這本教科書提供了一個易於理解的介紹,涵蓋了超平面排列理論這個豐富而美麗的領域,在這裡,離散數學(以組合數學和算術的形式)與連續數學(以複代數簇的拓撲學和霍奇理論的形式)相遇。

本書討論的主題範圍從基本的組合數學和離散幾何到更高級的混合霍奇結構、對數連接和米爾諾纖維化。作者在相對較短的篇幅內涵蓋了大量內容,重點在於仔細定義概念並在需要時詳細給出定理的證明。書中包括了一些驚人的結果和引人入勝的未解問題,這本及時的書籍也幫助讀者熟悉該主題上迅速擴展的文獻。

《超平面排列》將特別對對代數幾何或代數拓撲感興趣的研究生和研究人員有用。這本書在每章的結尾包含了大量練習題,使其適合用於課程學習以及自學。

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