I tiakina i:
| Ngā kaituhi matua: | , |
|---|---|
| Hōputu: | Preprint |
| I whakaputaina: |
2025
|
| Ngā marau: | |
| Urunga tuihono: | https://arxiv.org/abs/2512.03213 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- We find explicit equations of a new pair of fake projective planes, labeled by $(C18,p=3,\{2I\})$ in the Cartwright-Steger classification. Our method involves starting with known equations of a commensurable fake projective plane $(C18,p=3,\emptyset,d_3 D_3)$ and working through a chain of cyclic covers and quotients to get to the new one.