Chen, Xiuxiong; Sun, Song; Wang, Bing Kähler-Ricci flow, Kähler-Einstein metric, and K-stability. (English) Zbl 1404.53058 Geom. Topol. 22, No. 6, 3145-3173 (2018). Reviewer: Duc Viet Vu (Köln) MSC: 53C25 53C44 14J45 32Q20 PDFBibTeX XMLCite \textit{X. Chen} et al., Geom. Topol. 22, No. 6, 3145--3173 (2018; Zbl 1404.53058) Full Text: DOI arXiv
Chen, Xiuxiong; Donaldson, Simon; Sun, Song Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. (English) Zbl 1311.53059 J. Am. Math. Soc. 28, No. 1, 235-278 (2015). Reviewer: Vamsi Pritham Pingali (Baltimore) MSC: 53C55 14J45 32Q20 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Am. Math. Soc. 28, No. 1, 235--278 (2015; Zbl 1311.53059) Full Text: DOI arXiv
Chen, Xiuxiong; Donaldson, Simon; Sun, Song Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). (English) Zbl 1312.53097 J. Am. Math. Soc. 28, No. 1, 199-234 (2015). Reviewer: Vamsi Pritham Pingali (Baltimore) MSC: 53C55 14J45 32Q20 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Am. Math. Soc. 28, No. 1, 199--234 (2015; Zbl 1312.53097) Full Text: DOI arXiv
Chen, Xiuxiong; Donaldson, Simon; Sun, Song Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. (English) Zbl 1312.53096 J. Am. Math. Soc. 28, No. 1, 183-197 (2015). Reviewer: Vamsi Pritham Pingali (Baltimore) MSC: 53C55 14J45 32Q20 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Am. Math. Soc. 28, No. 1, 183--197 (2015; Zbl 1312.53096) Full Text: DOI arXiv
Chen, Xiuxiong; Donaldson, Simon; Sun, Song Kähler-Einstein metrics and stability. (English) Zbl 1331.32011 Int. Math. Res. Not. 2014, No. 8, 2119-2125 (2014). Reviewer: Gabriela Paola Ovando (Rosario) MSC: 32Q20 14J45 53C55 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. Math. Res. Not. 2014, No. 8, 2119--2125 (2014; Zbl 1331.32011) Full Text: DOI arXiv
Chen, Xiuxiong; Sun, Song Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics. (English) Zbl 1307.53058 Ann. Math. (2) 180, No. 2, 407-454 (2014). Reviewer: Carl Tipler (Brest) MSC: 53C55 53D25 53D20 32G05 53C22 32Q26 32Q60 58E10 35K55 PDFBibTeX XMLCite \textit{X. Chen} and \textit{S. Sun}, Ann. Math. (2) 180, No. 2, 407--454 (2014; Zbl 1307.53058) Full Text: DOI arXiv
Chen, Xiuxiong; Sun, Song Space of Kähler metrics. V: Kähler quantization. (English) Zbl 1252.53084 Dai, Xianzhe (ed.) et al., Metric and differential geometry. The Jeff Cheeger anniversary volume. Selected papers based on the presentations at the international conference on metric and differential geometry, Tianjin and Beijing, China, May 11–15, 2009. Berlin: Springer (ISBN 978-3-0348-0256-7/pbk; 978-3-0348-0257-4/ebook). Progress in Mathematics 297, 19-41 (2012). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53C55 58D17 53D50 PDFBibTeX XMLCite \textit{X. Chen} and \textit{S. Sun}, Prog. Math. 297, 19--41 (2012; Zbl 1252.53084) Full Text: DOI arXiv
Chen, Xiuxiong; Sun, Song; Tian, Gang A note on Kähler-Ricci soliton. (English) Zbl 1177.53037 Int. Math. Res. Not. 2009, No. 17, 3328-3336 (2009). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C21 53C55 53C44 32Q15 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. Math. Res. Not. 2009, No. 17, 3328--3336 (2009; Zbl 1177.53037) Full Text: DOI arXiv