The Calabi problem for Fano threefolds[electronic resource]

  • 其他作者: Araujo, Carolina.
  • 出版: Cambridge : Cambridge University Press 2023.
  • 稽核項: vii, 441 p. :ill., digital ;23 cm.
  • 叢書名: London Mathematical Society lecture note series ;485
  • 標題: Threefolds (Algebraic geometry)
  • ISBN: 1009193392 , 9781009193399
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  • 附註: Also issued in print: 2023. Includes bibliographical references and index.
  • 摘要: Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. Its solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, it presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces.
  • 電子資源: https://dbs.tnua.edu.tw/login?url=https://doi.org/10.1017/9781009193382
  • 系統號: 005338432
  • 資料類型: 電子書
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  • 引用網址: 複製連結