£68.95

Cambridge University Press The Calabi Problem for Fano Threefolds: Series Number 485 (London Mathematical Society Lecture Note Series, Series Number 485)

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£68.95 £45.15 £50.34 £55.53 £60.73 £65.92 £71.11 26 April 2026 09 May 2026 23 May 2026 05 June 2026 19 June 2026

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Description

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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Format
paperback
Domain
Amazon UK
Release Date
30 June 2023
Listed Since
25 December 2022

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