Table of contents

About this book


This volume is an outcome of the workshop "Moduli of K-stable Varieties", which was held in Rome, Italy in 2017. The content focuses on the existence problem for canonical Kähler metrics and links to the algebro-geometric notion of K-stability. The book includes both surveys on this problem, notably in the case of Fano varieties, and original contributions addressing this and related problems. The papers in the latter group develop the theory of K-stability; explore canonical metrics in the Kähler and almost-Kähler settings; offer new insights into the geometric significance of K-stability; and develop tropical aspects of the moduli space of curves, the singularity theory necessary for higher dimensional moduli theory, and the existence of minimal models. Reflecting the advances made in the area in recent years, the survey articles provide an essential overview of many of the most important findings. The book is intended for all advanced graduate students and researchers who want to learn about recent developments in the theory of moduli space, K-stability and Kähler-Einstein metrics.


Moduli spaces K-stability Kähler-Einstein metrics Minimal Model Program Fano varieties

Editors and affiliations

  • Giulio Codogni
    • 1
  • Ruadhaí Dervan
    • 2
  • Filippo Viviani
    • 3
  1. 1.Dept. of Mathematics and PhysicsRoma Tre UniversityRomeItaly
  2. 2.DPMMSUniversity of CambridgeCambridgeUK
  3. 3.Dept. of Mathematics and PhysicsRoma Tre UniversityRomeItaly

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-13157-9
  • Online ISBN 978-3-030-13158-6
  • Series Print ISSN 2281-518X
  • Series Online ISSN 2281-5198
  • Buy this book on publisher's site