Overview
- Includes up-to date-surveys on moduli spaces of Kähler-Einstein Fano varieties
- Presents new findings on the existence of minimal models
- Offer new connections between classical moduli spaces and tropical ones
Part of the book series: Springer INdAM Series (SINDAMS, volume 31)
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Table of contents (8 chapters)
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Front Matter
Keywords
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.
Editors and Affiliations
About the editors
Ruadhaí Dervan received his PhD from the University of Cambridge in 2016, and is currently a Research Fellow at Gonville & Caius College, Cambridge. His research focuses on complex geometry and algebraic geometry, especially canonical Kähler metrics, moduli theory and geometric analysis.
Giulio Codogni obtained his PhD from the University of Cambridge in 2016, and is currently a Research Fellow at the Department of Mathematics and Physics, Roma Tre University. His research interests are in algebraic geometry, especially K-stability, moduli theory and modular forms.
Filippo Viviani received his PhD from the University of Roma Tor Vergata in 2007, and is currently an Associate Professor at Roma Tre University. His research focuses on algebraic geometry, especially moduli theory and its connections with birational geometry and combinatorics.
Bibliographic Information
Book Title: Moduli of K-stable Varieties
Editors: Giulio Codogni, Ruadhaí Dervan, Filippo Viviani
Series Title: Springer INdAM Series
DOI: https://doi.org/10.1007/978-3-030-13158-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-13157-9Published: 10 July 2019
Softcover ISBN: 978-3-030-13160-9Published: 14 August 2020
eBook ISBN: 978-3-030-13158-6Published: 27 June 2019
Series ISSN: 2281-518X
Series E-ISSN: 2281-5198
Edition Number: 1
Number of Pages: XIII, 181
Number of Illustrations: 18 b/w illustrations
Topics: Algebraic Geometry, Geometry, Several Complex Variables and Analytic Spaces