The Calabi Problem for Fano Threefolds

by Ana-Maria Castravet, Carolina Araújo, Ivan Cheltsov

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...

• Format: Paperback
• Language: English
• ISBN: 1009193392
• ISBN13: 9781009193399
• Release Date: June 2023
• Publisher: Cambridge University Press
• Length: 455 Pages
• Weight: 1.45 lbs.
• Dimensions: 1.0" x 5.9" x 8.9"