{"product_id":"9781009193399","title":"The Calabi Problem for Fano Threefolds by Anne-Sophie Kaloghiros","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 K?hler-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 K?hler-Einstein metric, containing many additional relevant results such as the classification of all K?hler-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.\u003cbr\u003eBinding: Paperback \/ softback","brand":"Gardners","offers":[{"title":"Default Title","offer_id":56295344898421,"sku":"9781009193399","price":75.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9781009193399.jpg?v=1762767868","url":"https:\/\/backstory.london\/products\/9781009193399","provider":"Backstory","version":"1.0","type":"link"}