Year: 2026
Type: preprint
Abstract: We find explicit polynomial equations in their bicanonical embeddings into $\mathbb C\mathbb P^9$ for the pairs of fake projective planes labeled by $(C18,p=3,\{2\},D_3), (C18,p=3,\{2\},(dD)_3)$ and $(C18,p=3,\{2\},(d^2D)_3)$ in the Cartwright-Steger classification. We do this by starting with the equations of the commensurable fake projective plane labeled by $(C18,p=3,\{2I\})$ that were found in arXiv:2512.03213.
Source: arXiv (Cornell University)
Authors: Borisov, Lev, Mann, Nathan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223859642