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  3. K-stability of Fano Varieties
  • Cited by 2
Publisher:
Cambridge University Press
Online publication date:
May 2025
Print publication year:
2025
Online ISBN:
9781009538763
DOI:
https://doi.org/10.1017/9781009538763
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
New Mathematical Monographs (50)
Information

Book description

The K-stability of Fano varieties has been a major area of research over the last decade, ever since the Yau-Tian-Donaldson conjecture was resolved. This is the first book to give a comprehensive algebraic treatment of this emerging field. It introduces all the notions of K-stability that have been used over the development of the subject, proves their equivalence, and discusses newly developed theory, including several new proofs for existing theorems. Aiming to be as self-contained as possible, the text begins with a chapter covering essential background knowledge, and includes exercises throughout to test understanding. Written by an author at the forefront of developments in the area, it will be a source of inspiration for graduate students and researchers who work in algebraic geometry.

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