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The Calabi Problem for Fano Threefolds: Series Number 485 (London Mathematical Society Lecture Note Series, Series Number 485) - Softcover
Synopsis
This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
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About the Authors
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.
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Calabi Problem for Fano Threefolds
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ISBN 10: 1009193392
ISBN 13: 9781009193399
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The Calabi Problem for Fano Threefolds (London Mathematical Society Lecture Note Series, Series Number 485)
Published by
Cambridge University Press, 2023
ISBN 10: 1009193392
ISBN 13: 9781009193399
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Paperback. Condition: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR015043849
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Calabi Problem for Fano Threefolds
Published by
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ISBN 10: 1009193392
ISBN 13: 9781009193399
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The Calabi Problem for Fano Threefolds (London Mathematical Society Lecture Note Series, Series Number 485)
Published by
Cambridge University Press, 2023
ISBN 10: 1009193392
ISBN 13: 9781009193399
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The Calabi Problem for Fano Threefolds
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The Calabi Problem for Fano Threefolds (London Mathematical Society Lecture Note Series, Series Number 485)
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ISBN 13: 9781009193399
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Calabi Problem for Fano Threefolds
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Calabi Problem for Fano Threefolds
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ISBN 13: 9781009193399
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The Calabi Problem for Fano Threefolds
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The Calabi Problem for Fano Threefolds (Paperback)
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Paperback. Condition: new. Paperback. 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 KaehlerEinstein 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 KaehlerEinstein metric, containing many additional relevant results such as the classification of all KaehlerEinstein 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. This book determines whether the general member of each family of smooth Fano threefolds admits a KaehlerEinstein metric, using K-stability. Complemented by appendices outlining results needed to understand this active area, it will be essential reading for researchers and graduate students working on algebraic and complex geometry. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781009193399
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