48. Existence of the minimal model program for log canonical generalized pairs
Publications and Preprints
In reverse chronological order by arXiv posting date.
2026
47. Dual complexes of qdlt Fano type models and strong complete regularity
2025
46. Non-algebraicity of non-abundant foliations and abundance for adjoint foliated structures
45. Variation of algebraically integrable adjoint foliated structures
44a. Boundedness in general type MMP and fivefold effective termination
44b. Effective termination of general type MMPs in dimension at most five
43. Sarkisov program for algebraically integrable and threefold foliations
Int. Math. Res. Not. 2026, no. 6, 1–19.
42. Non-vanishing implies numerical dimension one abundance
41. On finite generation and boundedness of adjoint foliated structures
40. Classification of threefold enc cDV quotient singularities
2024
39. A generalized non-vanishing theorem for surfaces
Pure Appl. Math. Q. (special volume in honor of Caucher Birkar), 22 (2026), no. 1, 235–244.
38. Flop between algebraically integrable foliations on potentially klt varieties
Int. J. Math. (2025), 2550035.
37. ACC for local volumes
36. Minimal model program for algebraically integrable adjoint foliated structures
35. Volume of algebraically integrable foliations and locally stable families
To appear in Trans. Amer. Math. Soc.
34. Exceptional Fano varieties with small minimal log discrepancy
To appear in Math. Res. Lett.
33. Minimal model program for algebraically integrable foliations on klt varieties
Compos. Math. 161 (2025), 3213–3276.
2023
32. On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li
Algebra Number Theory 19 (2025), no. 11.
31. On explicit bounds of Fano threefolds
To appear in J. Reine Angew. Math. (Crelle's Journal).
30. Minimal model program for algebraically integrable foliations and generalized pairs
29. The minimal volume of surfaces of log general type with non-empty non-klt locus
To appear in Algebr. Geom.
28. ACC for lc thresholds for algebraically integrable foliations
To appear in Selecta Math.
27. Uniform rational polytopes of foliated threefolds and the global ACC
J. Lond. Math. Soc. 109 (2024), no. 6, e12950.
25. Vanishing theorems for generalized pairs
24. Complements, index theorem, and minimal log discrepancies of foliated surface singularities
Eur. J. Math. 10 (2024), no. 6.
23. On global ACC for foliated threefolds
Trans. Amer. Math. Soc. 376 (2023), no. 12, 8939–8972.
22. On effective Iitaka fibrations and existence of complements
Int. Math. Res. Not. (2024), no. 10, 8329–8349.
2022
21. Semi-ampleness of NQC generalized log canonical pairs
Adv. Math. 427 (2023), 109126.
20. On termination of flips and exceptionally non-canonical singularities
Geom. Topol. 29 (2025), no. 1, 399–441.
19. Infinitesimal structure of log canonical thresholds
Doc. Math. 29 (2024), no. 3, 703–732.
17. Uniform rational polytopes for Iitaka dimensions
In: Higher Dimensional Algebraic Geometry: A Volume in Honor of V. V. Shokurov (C. D. Hacon, C. Xu eds.), London Math. Soc. Lecture Note Series, Cambridge University Press (2025), 43–68.
16. Relative Nakayama–Zariski decomposition and minimal models for generalized pairs
Peking Math. J. (2025), no. 8, 299–349.
15. Second largest accumulation point of minimal log discrepancies of threefolds
14. On the fixed part of pluricanonical systems for surfaces
Math. Nachr. 296 (2023), 2046–2069.
13. On generalized lc pairs with b-log abundant nef part (with an Appendix by J. Han)
Front. Math. (2025).
12. ACC for minimal log discrepancies of terminal threefolds
Adv. Math. 480 (2025), 110457.
2021
11. Existence of flips for generalized lc pairs
Camb. J. Math. 11 (2023), no. 4, 795–828.
10. Number of singular points on projective surfaces
Chin. Ann. Math. Ser. B 46 (2025), 713–724.
9. Divisors computing minimal log discrepancies on lc surfaces
Math. Proc. Camb. Philos. Soc. 175 (2023), no. 1, 107–128.
2020
8. On effective birationality for sub-pairs
Int. J. Math. 34 (2023), no. 6, Article No. 2350029.
2019
7. An optimal gap of minimal log discrepancies of threefold non-canonical singularities
J. Pure Appl. Algebra 225 (2021), no. 9.
6. Bounded deformations of (ε, δ)-log canonical singularities
J. Math. Sci. Univ. Tokyo 27 (2020), no. 1, 1–28.
5. ACC for minimal log discrepancies of exceptional singularities
Peking Math. J. (2024), 1–33.
2018
4. Accumulation point theorem for generalized log canonical thresholds
3. Toward the equivalence of the ACC for a-log canonical thresholds and the ACC for minimal log discrepancies
To appear in Algebraic Geometry and Physics.
2017
1. On invariance of plurigenera for foliated surface pairs