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Springer INdAM Series

Moduli of K-stable Varieties

Editors: Codogni, Giulio, Dervan, Ruadhaí, Viviani, Filippo (Eds.)

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  • 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
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eBook 26,74 €
67,40 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-13158-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
114,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-13157-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 34,31 €
83,19 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-13160-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

About the authors

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 26,74 €
67,40 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-13158-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
114,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-13157-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 34,31 €
83,19 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-13160-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Moduli of K-stable Varieties
Editors
  • Giulio Codogni
  • Ruadhaí Dervan
  • Filippo Viviani
Series Title
Springer INdAM Series
Series Volume
31
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-13158-6
DOI
10.1007/978-3-030-13158-6
Hardcover ISBN
978-3-030-13157-9
Softcover ISBN
978-3-030-13160-9
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XIII, 181
Number of Illustrations
18 b/w illustrations
Topics