Order in reverse chronological order when they were posted to arXiv
2025 (7 works)
46. Non-algebraicity of non-abundant foliations and abundance for adjoint foliated structures (arXiv:2510.04419)
Authors: Jihao Liu, Zheng Xu
45. Variation of algebraically integrable adjoint foliated structures (arXiv:2510.02498)
Authors: Paolo Cascini, Jihao Liu, Fanjun Meng, Roberto Svaldi, and Lingyao Xie
44. Boundedness in general type MMP and fivefold effective termination (arXiv:2506.20183v1)
Authors: Jingjun Han, Jihao Liu, Lu Qi, and Ziquan Zhuang
Effective termination of general type MMPs in dimension at most five (arXiv:2509.01501)
Authors: Jingjun Han, Jihao Liu, and Ziquan Zhuang
43. Sarkisov program for algebraically integrable and threefold foliations (arXiv:2505.15115)
Authors: Yifei Chen, Jihao Liu, and Yanze Wang
42. Non-vanishing implies numerical dimension one abundance (arXiv:2505.05250)
Authors: Jihao Liu, Zheng Xu
41. On finite generation and boundedness of adjoint foliated structures (arXiv:2504.10737)
Authors: Paolo Cascini, Jingjun Han, Jihao Liu, Fanjun Meng, Calum Spicier, Roberto Svaldi, and Lingyao Xie
40. Classification of threefold enc cDV quotient singularities (arXiv:2501.01024)
Authors: Jingjun Han, Jihao Liu
2024 (7 works)
39. A generalized non-vanishing theorem for surfaces (arXiv:2410.15457)
Authors: Jihao Liu and Lingyao Xie
To appear in Pure. Appl. Math. Q. (special volume in honor of Caucher Birkar)
38. Flop between algebraically integrable foliations on potentially klt varieties (arXiv:2410.05764)
Authors: Yifei Chen, Jihao Liu, and Yanze Wang
Int. J. Math. (2025), 2550035. https://doi.org/10.1142/S0129167X25500351
37. ACC for local volumes (arXiv:2408.15090)
Authors: Jingjun Han, Jihao Liu, and Lu Qi
36. Minimal model program for algebraically integrable adjoint foliated structures (arXiv:2408.14258)
Authors: Paolo Cascini, Jingjun Han, Jihao Liu, Fanjun Meng, Calum Spicier, Roberto Svaldi, and Lingyao Xie
35. Volume of algebraically integrable foliations and locally stable families (arXiv:2406.16604)
Authors: Jingjun Han, Junpeng Jiao, Mengchu Li, Jihao Liu)
To appear in Trans. Amer. Math. Soc.
34. Exceptional Fano varieties with small minimal log discrepancy (arXiv:2406.03570)
Authors: Louis Esser, Jihao Liu, and Chengxi Wang
To appear in Math. Res. Lett.
33. Minimal model program for algebraically integrable foliations on klt varieties (arXiv: 2404.01559)
Authors: Jihao Liu, Fanjun Meng, and Lingyao Xie
To appear in Compos. Math.
2023 (11 works)
32. On the equivalence between the effective adjunction conjectures of Prokhorov-Shokurov and of Li (arXiv:2312.15397)
Authors: Jingjun Han, Jihao Liu, and Qingyuan Xue
Algebra Number Theory 19 (2025), no. 11. https://doi.org/10.2140/ant.2025.19.2261
31. On explicit bounds of Fano threefolds (arXiv:2311.06732)
Authors: Caucher Birkar and Jihao Liu
To appear in Journal für die reine und angewandte Mathematik (Crelle's Journal)
30. Minimal model program for algebraically integrable foliations and generalized pairs (arXiv:2309.15823)
Authors: Guodu Chen, Jingjun Han, Jihao Liu, and Lingyao Xie
29. The minimal volume of surfaces of log general type with non-empty non-klt locus (arXiv:2308.14268)
Authors: Jihao Liu and Wenfei Liu
28. ACC for lc thresholds for algebraically integrable foliations (arXiv:2307.07157)
Authors: Omprokash Das, Jihao Liu, and Roktim Mascharak
27. Uniform rational polytopes of foliated threefolds and the global ACC (arXiv:2306.00330)
Authors: Jihao Liu, Fanjun Meng, and Lingyao Xie
J. Lond. Math. Soc. 109 (2024), no. 6, e12950. https://doi.org/10.1112/jlms.12950
26. Optimal bounds on surfaces (arXiv:2305.19248)
Authors: Jihao Liu and Vyacheslav V. Shokurov
To appear in Algebraic Geometry and Physics
25. Vanishing theorems for generalized pairs (arXiv:2305.12337)
Authors: Bingyi Chen, Jihao Liu, and Lingyao Xie
24. Complements, index theorem, and minimal log discrepancies of foliated surface singularities (arXiv:2305.06493)
Authors: Jihao Liu, Fanjun Meng, and Lingyao Xie
Eur. J. Math. 10 (2024), no. 6. https://doi.org/10.1007/s40879-023-00719-9
23. On global ACC for foliated threefolds (arXiv:2303.13083)
Authors: Jihao Liu, Yujie Luo, and Fanjun Meng
Trans. Amer. Math. Soc. 376 (2023), no. 12, 8939-8972. https://doi.org/10.1090/tran/9053
22. On effective Iitaka fibrations and existence of complements (arXiv:2301.04813)
Authors: Guodu Chen, Jingjun Han, and Jihao Liu
Int. Math. Res. Not. (2024), Issue 10, 8329-8349. https://doi.org/10.1093/imrn/rnad253
2022 (10 works)
21. Semi-ampleness of NQC generalized log canonical pairs (arXiv:2210.01731)
Authors: Jihao Liu and Lingyao Xie
Adv. Math. 427 (2023), 109126. https://doi.org/10.1016/j.aim.2023.109126
20. On termination of flips and exceptionally non-canonical singularities (arXiv:2209.13122)
Authors: Jingjun Han and Jihao Liu.
Geom. Top. 29 (2025), no. 1, 399–441. https://doi.org/10.2140/gt.2025.29.399
19. Infinitesimal structure of log canonical thresholds (arXiv:2209.11369)
Authors: Jihao Liu, Fanjun Meng, and Lingyao Xie
Doc. Math. 29 (2024), no. 3, 703–732. https://doi.org/10.4171/dm/952
18. Remark on complements on surfaces (arXiv:2208.09184)
Author: Jihao Liu
Forum Math. Sigma. 11 (2023), e42. https://doi.org/10.1017/fms.2023.35
17. Uniform rational polytopes for Iitaka dimensions (arXiv: 2208.04663)
Authors: Guodu Chen, Jingjun Han, and Jihao Liu
In: Higher Dimensional Algebraic Geometry: A Volume in Honor of V. V. Shokurov. (C. D. Hacon, C. Xu eds), London Mathematical Society Lecture Note Series, Cambridge University Press (2025), 43–68. https://doi.org/10.1017/9781009396233.006
16. Relative Nakayama-Zariski decomposition and minimal models for generalized pairs (arXiv: 2207.09576)
Authors: Jihao Liu and Lingyao Xie
Peking Math. J (2025), no. 8, 299-349. https://doi.org/10.1007/s42543-023-00076-2
15. Second largest accumulation point of minimal log discrepancies of threefolds (arXiv: 2207.04610)
Authors: Jihao Liu and Yujie Luo
14. On the fixed part of pluricanonical systems for surfaces (arXiv: 2202.11260)
Authors: Jihao Liu and Lingyao Xie
Math. Nachr. 296 (2023), 2046–2069. https://doi.org/10.1002/mana.202200088
13. On generalized lc pairs with b-log abundant nef part (with an Appendix by J. Han) (arXiv:2202.11256)
Authors: Junpeng Jiao, Jihao Liu, and Lingyao Xie
Front. Math (2025). https://doi.org/10.1007/s11464-025-0033-0
12. ACC for minimal log discrepancies of terminal threefolds (arXiv: 2202.05287)
Authors: Jingjun Han, Jihao Liu, and Yujie Luo
Adv. Math. 480 (2025), 110457. https://doi.org/10.1016/j.aim.2025.110457
2021 (3 works)
11. Existence of flips for generalized lc pairs (arXiv:2105.13590)
Authors: Christopher D. Hacon and Jihao Liu
Camb. J. Math. 11 (2023), no. 4, 795-828. https://dx.doi.org/10.4310/CJM.2023.v11.n4.a1
10. Number of singular points on projective surfaces (arXiv:2103.04522)
Authors: Jihao Liu and Lingyao Xie
Chin. Ann. Math. Ser. B (2025). https://doi.org/10.1007/s11401-025-0035-y
9. Divisors computing minimal log discrepancies on lc surfaces (arXiv:2101.00138)
Authors: Jihao Liu and Lingyao Xie
Math. Proc. Camb. Philos. Soc (2023) 175(1), 107-128. https://doi.org/10.1017/S0305004123000051
2020 (1 work)
8. On effective birationality for sub-pairs (arXiv:2007.01849)
Authors: Jingjun Han and Jihao Liu.
Int. J. Math 34 (2023), Issue No. 6, Article No. 2350029. https://doi.org/10.1142/S0129167X23500295
2019 (3 works)
7. An optimal gap of minimal log discrepancies of threefold non-canonical singularities (arXiv:1909.08759)
Authors: Jihao Liu and Liudan Xiao
J. Pure Appl. Algebra, 225 (2021), no. 9. https://doi.org/10.1016/j.jpaa.2021.106674
6. Bounded deformations of (ε,δ)-log canonical singularities (arXiv:1903.07202)
Authors: Jingjun Han, Jihao Liu, and J. Moraga
J. Math. Sci. Univ. Tokyo 27 (2020), no. 1, 1-28.
5. ACC for minimal log discrepancies of exceptional singularities (arXiv:1903.04338)
Authors: Jingjun Han, Jihao Liu, and Vyacheslav V. Shokurov
Peking Math. J. (2024). https://doi.org/10.1007/s42543-024-00091-x
2018 (3 works)
4. Accumulation point theorem for generalized log canonical thresholds (arXiv:1810.12381)
Author: Jihao Liu
3. Toward the equivalence of the ACC for a-log canonical thresholds and the ACC for minimal log discrepancies (arXiv:1809.04839)
Author: Jihao Liu
To appear in Algebraic Geometry and Physics
2. Sarkisov program for generalized pairs (arXiv:1802.03926)
Author: Jihao Liu
Osaka J. Math., 58 (2021), no. 4. Link
2017 (1 work)
1. On invariance of plurigenera for foliated surface pairs (arXiv:1707.07092)
Author: Jihao Liu