The Calabi problem for Fano threefolds /

The Calabi problem for Fano threefolds /

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Bibliographic Details
Author / Creator:	Araujo, Carolina (Mathematician), author.
Imprint:	Cambridge, United Kingdom : New York, NY, USA : Cambridge University Press, 2023. ©2023
Description:	vii, 441 pages : illustrations ; 23 cm.
Language:	English
Series:	London Mathematical Society lecture note series ; 485 London Mathematical Society lecture note series ; 485.
Subject:	Threefolds (Algebraic geometry)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13265700

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Other authors / contributors:	Castravet, Ana-Maria, author. Cheltsov, Ivan, author. Fujita, Kento, author. Kaloghiros, Anne-Sophie, author. Martinez-Garcia, Jesus, author. Shramov, Constantin, author. Süß, Hendrik, author. Viswanathan, Nivedita, author.
ISBN:	9781009193399 1009193392
Notes:	Includes bibliographical references (pages 430-439) and index.
Summary:	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. -- publishers website.

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Call Number:	QA564.A73 2023
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian