{"product_id":"9781009193399","title":"The Calabi Problem for Fano Threefolds (London Mathematical Society Lecture Note Series)","description":"\u003cp\u003eAlgebraic 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45407569870927,"sku":"00000_00000_00000_00000","price":3675.0,"currency_code":"TWD","in_stock":false}],"url":"https:\/\/kinokuniya.com.tw\/products\/9781009193399","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}