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Termination of generalized-canonical flips on compact Kähler fourfolds

OpenAI · October 5, 2026

Earlier edition

This is an earlier edition (October 5, 2026). Current edition: Termination of generalized-canonical flips on compact Kähler fourfolds, October 6, 2026.

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Cite

@misc{OAI:Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026,
  author = {{OpenAI}},
  title = {{Termination of generalized-canonical flips on compact K{\"a}hler fourfolds}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026/termination-generalized-terminal-flips-compact-kahler-fourfolds.pdf}{OAI:Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026}},
  year = {2026}
}

Family 056: Termination of projective and Kähler fourfold minimal model programs

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.

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