{"product_id":"the-calabi-problem-for-fano-carolina-araujo-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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1009193392\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781009193399\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/24\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 455\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.45lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.90h x 5.91w x 1.02d","brand":"Carolina Araujo","offers":[{"title":"Paperback","offer_id":46233112183039,"sku":"9781009193399","price":100.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_ecb64604-39b9-49b2-9ba5-baad9701dfb9.jpg?v=1728992103","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-calabi-problem-for-fano-carolina-araujo-9781009193399","provider":"WR Book House","version":"1.0","type":"link"}