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The Calabi Problem For Fano Threefolds Carolina Araujo Anamaria Castravet

  • SKU: BELL-50569684
The Calabi Problem For Fano Threefolds Carolina Araujo Anamaria Castravet
$ 31.00 $ 45.00 (-31%)

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The Calabi Problem For Fano Threefolds Carolina Araujo Anamaria Castravet instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 4.43 MB
Pages: 450
Author: Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov, Kento Fujita, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia, Constantin Shramov, Hendrik Süss, Nivedita Viswanathan
ISBN: 9781009193399, 1009193392
Language: English
Year: 2023

Product desciption

The Calabi Problem For Fano Threefolds Carolina Araujo Anamaria Castravet by Carolina Araujo, Ana-maria Castravet, Ivan Cheltsov, Kento Fujita, Anne-sophie Kaloghiros, Jesus Martinez-garcia, Constantin Shramov, Hendrik Süss, Nivedita Viswanathan 9781009193399, 1009193392 instant download after payment.

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.

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