On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties-Reference-Cited by-同舟云学术

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On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties

Published:2020-08-29 Issue:8 Volume:74 Page:1748-1800
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Comm. Pure Appl. Math.

Author:

Li Chi¹,Tian Gang²,Wang Feng³

Affiliation:

1. Department of Mathematics Purdue University 150 N. University Street West Lafayette IN 47907‐2067 USA

2. BICMR and School of Mathematical Sciences Peking University 5 Yiheyuan Road Beijing China

3. School of Mathematical Sciences Zhejiang University 38 Zheda Road Hangzhou Zhejiang China

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.21936

Reference57 articles.

1. K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics

2. Berman R. J.;Boucksom S.; Eyssidieux; P.; Guedj V.; Zeriahi A. Kähler‐Einstein metrics and the Kähler‐Ricci flow on log Fano varieties.J. Reine Angew. Math.751(2019) 27–89. 10.1515/crelle‐2016‐0033

3. Berman R.;Boucksom S.;Jonsson M.A variational approach to the Yau‐Tian‐Donaldson conjecture. Preprint 2015. 1509.04561 [math.DG]

4. Convexity of the extended K-energy and the large time behavior of the weak Calabi flow

5. Berndtsson B.Curvature of vector bundles associated to holomorphic fibrations.Ann. of Math. (2)169(2009) no. 2 531–560. 10.4007/annals.2009.169.531

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2. Higher regularity for singular Kähler–Einstein metrics;Duke Mathematical Journal;2023-12-01

3. Quasi-monotone convergence of plurisubharmonic functions;Bulletin des Sciences Mathématiques;2023-11

4. A quantization proof of the uniform Yau–Tian–Donaldson conjecture;Journal of the European Mathematical Society;2023-08-02

5. Some Observations on the Dimension of Fano K-Moduli;Springer Proceedings in Mathematics & Statistics;2023

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