Vetenskap & teknik
Calabi Problem for Fano Threefolds
Carolina Araujo • Ana-Maria Castravet • Ivan Cheltsov • Kento Fujita • Anne-Sophie Kaloghiros
1469:-
Uppskattad leveranstid 2-7 arbetsdagar
Fri frakt för medlemmar vid köp för minst 249:-
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.
- Format: Trade paperback
- ISBN: 9781009193399
- Språk: Engelska
- Utgivningsdatum: 2023-06-29
- Förlag: Cambridge University Press