K-stability of Fano Varieties (New Mathematical Monographs, Series Number 50)
Author: Chenyang Xu
Publisher finelybook 出版社: Cambridge University Press
Edition 版本: N/A
Publication Date 出版日期: 2025-04-24
Language 语言: English
Print Length 页数: 423 pages
ISBN-10: 1009538772
ISBN-13: 9781009538770
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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