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Yuchen Liu
Yuchen Liu
Assistant Professor, Northwestern University
Verified email at northwestern.edu - Homepage
Title
Cited by
Cited by
Year
Finite generation for valuations computing stability thresholds and applications to K-stability
Y Liu, C Xu, Z Zhuang
Annals of Mathematics 196 (2), 507-566, 2022
146*2022
Openness of K-semistability for Fano varieties
H Blum, Y Liu, C Xu
Duke Mathematical Journal 171 (13), 2753-2797, 2022
116*2022
K-stability of cubic threefolds
Y Liu, C Xu
Duke Mathematical Journal 168 (11), 2029-2073, 2019
882019
The volume of singular Kähler–Einstein Fano varieties
Y Liu
Compositio Mathematica 154 (6), 1131-1158, 2018
812018
Kähler–Einstein metrics and volume minimization
C Li, Y Liu
Advances in Mathematics 341, 440-492, 2019
702019
Openness of uniform K-stability in families of -Fano varieties
H Blum, Y Liu
Annales Scientifiques de l'École Normale Supérieure 55 (1), 1-41, 2022
58*2022
A guided tour to normalized volume
C Li, Y Liu, C Xu
Geometric Analysis, 167-219, 2020
572020
On properness of K-moduli spaces and optimal degenerations of Fano varieties
H Blum, D Halpern-Leistner, Y Liu, C Xu
Selecta Mathematica 27 (4), 1-39, 2021
462021
Wall crossing for K‐moduli spaces of plane curves
K Ascher, K DeVleming, Y Liu
Proceedings of the London Mathematical Society 128 (6), e12615, 2024
42*2024
Optimal destabilization of K–unstable Fano varieties via stability thresholds
H Blum, Y Liu, C Zhou
Geometry & Topology 26 (6), 2507-2564, 2022
40*2022
The existence of the Kähler–Ricci soliton degeneration
H Blum, Y Liu, C Xu, Z Zhuang
Forum of Mathematics, Pi 11, e9, 2023
332023
Characterization of projective spaces by Seshadri constants
Y Liu, Z Zhuang
Mathematische Zeitschrift 289 (1-2), 25-‌38, 2018
302018
The normalized volume of a singularity is lower semicontinuous
H Blum, Y Liu
Journal of the European Mathematical Society 23 (4), 1225-1256, 2021
29*2021
K-stability and birational models of moduli of quartic K3 surfaces
K Ascher, K DeVleming, Y Liu
Inventiones mathematicae 232 (2), 471-552, 2023
252023
K-moduli of curves on a quadric surface and K3 surfaces
K Ascher, K DeVleming, Y Liu
Journal of the Institute of Mathematics of Jussieu 22 (3), 1251-1291, 2023
242023
K-stability of cubic fourfolds
Y Liu
Journal für die reine und angewandte Mathematik (Crelles Journal) 786, 55-77, 2022
212022
Equivariant K-stability under finite group action
Y Liu, Z Zhu
International Journal of Mathematics 33 (01), 2250007, 2022
20*2022
K-stability of Fano threefolds of rank 2 and degree 14 as double covers
Y Liu
Mathematische Zeitschrift 303 (2), 38, 2023
182023
ACC for local volumes and boundedness of singularities
J Han, Y Liu, L Qi
Journal of Algebraic Geometry 32 (3), 519-583, 2023
18*2023
Birational Superrigidity and K-Stability of Singular Fano Complete Intersections
Y Liu, Z Zhuang
International Mathematics Research Notices 2021 (1), 382-401, 2021
18*2021
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