Explicit equations of the fake projective plane (a=7,p=2,∅,D₃ X₇)

2023/08/28 by Borisov, Lev, Ji, Mattie, Li, Yanxin · 1 citation
#14J29 #14Q10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.14237

Abstract

We find explicit equations of the fake projective plane (a=7,p=2,∅,D₃ X₇), which lies in the same class as the fake projective plane (a=7,p=2,∅,D₃ 2₇) with 21 automorphisms whose equations were previously found by Borisov and Keum. The method involves finding a birational model of a common Galois cover of these two surfaces.

Cited by

• Finding equations of the fake projective plane (C18,p=3,\2I\)

Related

• Realizing a Fake Projective Plane as a Degree 25 Surface in \mathbb P⁵
• A Fake Projective Plane with an order 7 automorphism
• Finding equations of the fake projective plane (C18,p=3,\2I\)
• Research announcement: equations of a fake projective plane
• On the Geometry of a Fake Projective Plane with 21 Automorphisms