{"product_id":"araujo-carolina-the-calabi-problem-for-fano-threefolds-9781009193399","title":"The Calabi Problem for Fano Threefolds","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.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":53795753296214,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"url":"https:\/\/www.momoxbooks.com\/products\/araujo-carolina-the-calabi-problem-for-fano-threefolds-9781009193399","provider":"momoxbooks","version":"1.0","type":"link"}