The Calabi problem for Fano threefolds / Carolina Araujo, ... Ana-Maria Castravet, ... Ivan Cheltsov, ... [et al.]

Auteur principal : Araujo, Carolina, Auteur IdrefCo-auteur : Martinez-Garcia, Jesus, Auteur IdrefShramov, Constantin, Auteur IdrefSüss, Hendrik, Auteur IdrefKaloghiros, Anne-Sophie, Auteur IdrefFujita, Kento, Auteur IdrefCheltsov, Ivan, 1973-...., Auteur IdrefViswanathan, Nivedita, Auteur IdrefCastravet, Ana-Maria, Auteur IdrefType de document : MonographieCollection : London Mathematical Society Lecture Note Series, 485Langue : anglais.Éditeur : 2023Description : 1 vol. (VII-441 p.) : ill.ISBN: 9781009193399.Bibliographie : Bibliogr. p. 430-439. Index.Sujet MSC : 14J45, Fano varieties, Surfaces and higher-dimensional varieties
32Q15, Kähler manifolds, Complex manifolds
32Q20, Kähler-Einstein manifolds, Complex manifolds
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Bibliogr. p. 430-439. Index

This book determines whether the general member of each family of smooth Fano threefolds admits a Kähler-Einstein metric, using K-stability. Complemented by appendices outlining results needed to understand this active area, it will be essential reading for researchers and graduate students working on algebraic and complex geometry.

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