K-stability of Fano Varieties
by
Chenyang Xu
Book Details
Format
Hardback or Cased Book
Book Series
New Mathematical Monographs
ISBN-10
1009538772
ISBN-13
9781009538770
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 24th, 2025
Print length
423 Pages
Product Classification:
Differential & Riemannian geometryAlgebraic geometry
Ksh 22,500.00
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Aimed at graduate students and researchers in algebraic geometry, this is the first book to give a comprehensive and self-contained algebraic treatment of the emerging field of K-stability. It introduces all the notions of K-stability used over the development of the subject, proves their equivalence, and discusses newly developed theory.
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 someone 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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