The Calabi Problem for Fano Threefolds - Couverture souple

Araujo, Carolina

Couverture souple

ISBN 10 : 1009193392 ISBN 13 : 9781009193399

Editeur : Cambridge University Press, 2023

Synopsis

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.

A propos du livre

À propos des auteurs

Carolina Araujo is a researcher at the Institute for Pure and Applied Mathematics (IMPA), Rio de Janeiro, Brazil.

Ana-Maria Castravet is Professor at the University of Versailles, France.

Ivan Cheltsov is Chair of Birational Geometry at the University of Edinburgh.

Kento Fujita is Associate Professor at Osaka University.

Anne-Sophie Kaloghiros is a Reader at Brunel University London.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 1009193392
• ISBN 13: 9781009193399
• Reliure: Broché
• Nombre de pages: 450
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France