£63.96

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

Algebra

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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.

Product Specifications

Format: paperback
ASIN: 1009193392
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 June 2023
Listed Since: 25 December 2022

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

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