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portada The Calabi Problem for Fano Threefolds
Type
Physical Book
Author
Publisher
Language
English
Pages
455
Format
Paperback
Dimensions
22.6 x 15.0 x 2.6 cm
Weight
0.66 kg.
ISBN13
9781009193399
Categories

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

New Book Imported to Austria
Delivery: 13 Aug - 17 Aug Shipping: 4 to 5 business days.
137,08 €
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137,08 €

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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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