- Realizing a Fake Projective Plane as a Degree 25 Surface in P<sup>5</sup>
- Project Year:
2022
- REU Student (s):
Zachary Lihn | Columbia University in the City of New York NY
- Student 1 Institution:
Columbia University in the City of New York
- Project Mentor:
Lev Borisov
- Project Mentor Area:
Mathematics
- Project Abstract:
Fake projective planes are smooth complex surfaces of general type with Betti numbers equal to that of the usual fake projective plane. Recent explicit constructions of fake projective planes embed them via their bicanonical embedding in P9. In this paper, we study Keum's fake projective plane (a = 7, p = 2, {7},D327) and construct an embedding of the fake projective plane in P5. We also simplify the 84 cubic equations defining the fake projective plane in P9.
