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The Calabi Problem for Fano Threefolds
Carolina Araujo
(Author)
·
Ana-Maria Castravet
(Author)
·
Ivan Cheltsov
(Author)
·
Cambridge University Press
· Paperback
The Calabi Problem for Fano Threefolds - Araujo, Carolina ; Castravet, Ana-Maria ; Cheltsov, Ivan
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Synopsis "The Calabi Problem for Fano Threefolds"
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler-Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler-Einstein metric, containing many additional relevant results such as the classification of all Kähler-Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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