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K-stability of Fano Varieties

K-stability of Fano Varieties

Hardcover

Series: New Mathematical Monographs, Book 50

General MathematicsGeometry

ISBN10: 1009538772
ISBN13: 9781009538770
Publisher: Cambridge University Press
Published: Apr 24 2025
Pages: 423
Weight: 1.62
Height: 1.06 Width: 6.00 Depth: 9.00
Language: English
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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General Mathematics