Termination of projective and Kähler fourfold minimal model programs
What the paper claims, in its own words
Proves termination of every existing generalized log canonical flip sequence on globally Weil ℚ-factorial compact Kähler fourfolds, with rational boundary, fixed rational analytically nef b-data, and projective small flip diagrams with the prescribed ample signs. Also proves termination of arbitrary permitted minimal model programs for projective log canonical fourfolds with rational boundary in characteristic zero.
The plain-language explainer for this entry is still coming.
The original papers (5)
- Termination of generalized log canonical flips on compact Kähler fourfolds (PDF, opens in a new tab) October 7, 2026
- Termination of generalized-canonical flips on compact Kähler fourfolds (PDF, opens in a new tab) October 6, 2026
- Termination for projective log canonical fourfolds with rational boundary (PDF, opens in a new tab) September 24, 2026
- Finite ordinary minimal model programs on compact Kähler fourfolds (PDF, opens in a new tab) October 6, 2026
- Finite ordinary minimal model programs on compact Kähler fourfolds (PDF, opens in a new tab) September 24, 2026