K-stability of Fano Varieties by Chenyang Xu

K-stability of Fano Varieties by Chenyang Xu

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Summary

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.

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K-stability of Fano Varieties by Chenyang Xu

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.
Chenyang Xu is Professor at Princeton University. He is a fellow of the American Mathematical Society. His contributions have been recognized by the Future Science Prize 2017, the New Horizon Prize 2019, and the Cole Prize 2021.
SKU Unavailable
ISBN 13 9781009538770
ISBN 10 1009538772
Title K-stability of Fano Varieties
Author Chenyang Xu
Series New Mathematical Monographs
Condition Unavailable
Publisher Cambridge University Press
Year published 2025-04-30
Number of pages 415
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.