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The Calabi Problem for Fano Threefolds - Araujo, Carolina, and Castravet, Ana-Maria, and Cheltsov, Ivan
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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 K???hler-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 ...

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The Calabi Problem for Fano Threefolds 2023, Cambridge University Press, Cambridge

ISBN-13: 9781009193399

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