We discover a family of surfaces of general type with K2 = 3 and pg = q = 0 as free C13 quotients of special linear cuts of the octonionic projective plane Oℙ2. A special member of the family has 3 singularities of type A2, and is a quotient of a fake projective plane. We use the techniques of earlier work of Borisov and Fatighenti to define this fake projective plane by explicit equations in its bicanonical embedding.
|Original language||English (US)|
|Number of pages||9|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - 2022|
All Science Journal Classification (ASJC) codes
- Applied Mathematics