Remarks on the Complex Structures on ℙ³ and S²× S⁴

@misc{liang2026remarks,
  title = {{Remarks on the Complex Structures on $\mathbb P^3$ and $S^2\times S^4$}},
  author = {Ruiming Liang and Chenhan Liu and Yang Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29651},
  eprint = {2608.29651},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29651},
}

TY  - UNPB
TI  - Remarks on the Complex Structures on ℙ^3 and S^2× S^4
AU  - Ruiming Liang
AU  - Chenhan Liu
AU  - Yang Zhang
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29651
UR  - https://arxiv.org/abs/2608.29651
AB  - Assuming the validity of the recently proposed \textit{``A compact complex threefold fibred by tori over the projective line, and the six-sphere''}, we construct an exotic complex structure on ℙ^3, distinct from the point-blowup structures of Huckleberry, Kebekus, and Peternell. Then we perform an Atiyah flop to produce a complex structure on the standard smooth manifold S^2× S^4.
ER  -