# [Termination of generalized log canonical flips on compact Kähler fourfolds](termination-generalized-lc-kahler-fourfolds.pdf)

**Author:** OpenAI

**Date:** October 7, 2026

## Citation

```bibtex
@misc{OAI:Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026,
  author = {{OpenAI}},
  title = {{Termination of generalized log 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-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026/termination-generalized-lc-kahler-fourfolds.pdf}{OAI:Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026}},
  year = {2026}
}
```

## Version note

This version clarifies the independent relative MMP and birational-comparison inputs used by the proof and updates citations to revised companion papers; see the [previous version](../Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-5-2026/termination-generalized-lc-kahler-fourfolds.pdf).