Ascher, Kenneth; DeVleming, Kristin; Liu, Yuchen K-stability and birational models of moduli of quartic \(K3\) surfaces. (English) Zbl 07676256 Invent. Math. 232, No. 2, 471-552 (2023). MSC: 14J28 14J10 14J45 PDFBibTeX XMLCite \textit{K. Ascher} et al., Invent. Math. 232, No. 2, 471--552 (2023; Zbl 07676256) Full Text: DOI arXiv
Liu, Yuchen \(K\)-stability of Fano threefolds of rank 2 and degree 14 as double covers. (English) Zbl 1508.14046 Math. Z. 303, No. 2, Paper No. 38, 9 p. (2023). Reviewer: Chuyu Zhou (Lausanne) MSC: 14J45 PDFBibTeX XMLCite \textit{Y. Liu}, Math. Z. 303, No. 2, Paper No. 38, 9 p. (2023; Zbl 1508.14046) Full Text: DOI arXiv
Liu, Yuchen; Petracci, Andrea On K-stability of some del Pezzo surfaces of Fano index 2. (English) Zbl 1519.14040 Bull. Lond. Math. Soc. 54, No. 2, 517-525 (2022). Reviewer: Chen Jiang (Shanghai) MSC: 14J45 14D23 32Q20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{A. Petracci}, Bull. Lond. Math. Soc. 54, No. 2, 517--525 (2022; Zbl 1519.14040) Full Text: DOI arXiv
Blum, Harold; Liu, Yuchen; Zhou, Chuyu Optimal destabilization of K-unstable Fano varieties via stability thresholds. (English) Zbl 1514.14040 Geom. Topol. 26, No. 6, 2507-2564 (2022). MSC: 14J10 14J45 32Q20 PDFBibTeX XMLCite \textit{H. Blum} et al., Geom. Topol. 26, No. 6, 2507--2564 (2022; Zbl 1514.14040) Full Text: DOI arXiv
Liu, Yuchen; Xu, Chenyang; Zhuang, Ziquan Finite generation for valuations computing stability thresholds and applications to K-stability. (English) Zbl 1503.14041 Ann. Math. (2) 196, No. 2, 507-566 (2022). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J45 14D20 32Q20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Ann. Math. (2) 196, No. 2, 507--566 (2022; Zbl 1503.14041) Full Text: DOI arXiv
Liu, Yuchen K-stability of cubic fourfolds. (English) Zbl 1491.14061 J. Reine Angew. Math. 786, 55-77 (2022). Reviewer: Chen Jiang (Shanghai) MSC: 14J45 14J35 14J70 PDFBibTeX XMLCite \textit{Y. Liu}, J. Reine Angew. Math. 786, 55--77 (2022; Zbl 1491.14061) Full Text: DOI arXiv
Liu, Yuchen; Zhuang, Ziquan On the sharpness of Tian’s criterion for K-stability. (English) Zbl 1489.14054 Nagoya Math. J. 245, 41-73 (2022). Reviewer: Chen Jiang (Shanghai) MSC: 14J45 14L24 32Q26 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{Z. Zhuang}, Nagoya Math. J. 245, 41--73 (2022; Zbl 1489.14054) Full Text: DOI arXiv
Liu, Yuchen; Xu, Chenyang \(K\)-stability of cubic threefolds. (English) Zbl 1436.14085 Duke Math. J. 168, No. 11, 2029-2073 (2019). Reviewer: Andreas Höring (Nice) MSC: 14L24 14J70 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Xu}, Duke Math. J. 168, No. 11, 2029--2073 (2019; Zbl 1436.14085) Full Text: DOI arXiv Euclid
Liu, Yuchen The volume of singular Kähler-Einstein Fano varieties. (English) Zbl 1397.14052 Compos. Math. 154, No. 6, 1131-1158 (2018). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J45 14B05 14L24 32Q15 PDFBibTeX XMLCite \textit{Y. Liu}, Compos. Math. 154, No. 6, 1131--1158 (2018; Zbl 1397.14052) Full Text: DOI arXiv