Complex algebraic threefolds[electronic resource]

  • 作者: Kawakita, Masayuki,
  • 出版: Cambridge ; New York, NY : Cambridge University Press 2024.
  • 稽核項: xii, 490 p. :ill., digital ;23 cm.
  • 叢書名: Cambridge studies in advanced mathematics ;209
  • 標題: Threefolds (Algebraic geometry) , Abelian varieties
  • ISBN: 1108844235 , 9781108844239
  • 試查全文@TNUA:
  • 附註: Title from publisher's bibliographic system (viewed on 29 Sep 2023). The minimal model program -- Singularities -- Divisorial contractions to points -- Divisorial contractions to curves -- Flips -- The Sarkisov category -- Conical fibrations -- Del Pezzo fibrations -- Fano threefolds -- Minimal models.
  • 摘要: The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension.
  • 電子資源: https://dbs.tnua.edu.tw/login?url=https://doi.org/10.1017/9781108933988
  • 系統號: 005338418
  • 資料類型: 電子書
  • 讀者標籤: 需登入
  • 引用網址: 複製連結