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http://bura.brunel.ac.uk/handle/2438/24068
Title: | The Calabi problem for smooth Fano threefolds |
Authors: | Araujo, C Castravet, A-M Cheltsov, I Fujita, K Kaloghiros, A-S Martinez-Garcia, J Shramov, C Süss, H Viswanathan, N |
Keywords: | K-stability;Kähler-Einstein metrics;Fano varieties |
Issue Date: | 11-Jun-2021 |
Publisher: | Max-Planck-Institut für Mathematik |
Citation: | Araujo, C., Castravet, A.-M., Cheltsov, I., Fujita, K., Kaloghiros, A.-S., Martinez-Garcia, J., Shramov, C., Süß, H. and Viswanathan, N. (2021) 'The Calabi problem for Fano threefolds' MPIM Preprints, 2021 (31). URL: https://www.maths.ed.ac.uk/cheltsov/pdf/Fanos.pdf. |
Series/Report no.: | Max-Planck-Institut für Mathematik Preprint series;2021 (31) |
Abstract: | Copyright © 2021 The Authors. There are 105 irreducible families of smooth Fano threefolds, which have been classified by Iskovskikh, Mori and Mukai. For each family, we determine whether its general member admits a K¨ahler–Einstein metric or not. We also find all K¨ahler–Einstein smooth Fano threefolds that have infinite automorphism groups. |
Description: | To be published by CUP, LMS Lecture Notes Series 2022 |
URI: | https://bura.brunel.ac.uk/handle/2438/24068 |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
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Preprint.pdf | 2.09 MB | Adobe PDF | View/Open |
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