Description
This monograph provides a thorough and authoritative treatment of K-stability of Fano varieties, a central topic in contemporary algebraic geometry and geometric analysis. Written by renowned mathematician Chenyang Xu, the book explores the deep connections between K-stability and the existence of Kähler-Einstein metrics on Fano varieties.
The text systematically develops the theory from foundational concepts through advanced results, making it an essential resource for researchers and graduate students. It covers valuative criteria, stability conditions, and applications to moduli problems. The presentation includes both classical approaches and recent developments in the field, offering comprehensive coverage of how K-stability relates to the geometry and analysis of Fano varieties.
Published by Cambridge University Press as part of the New Mathematical Monographs series, this volume represents the state of the art in understanding the geometric properties that characterize when Fano varieties admit canonical metrics.
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