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arXiv · 2308.14237

Explicit equations of the fake projective plane $(a=7,p=2,\emptyset,D_3 X_7)$

Lev Borisov·Mattie Ji·Yanxin Li
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Abstract

We find explicit equations of the fake projective plane $(a=7,p=2,\emptyset,D_3 X_7)$, which lies in the same class as the fake projective plane $(a=7,p=2,\emptyset,D_3 2_7)$ 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.

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Lev Borisov, Mattie Ji, Yanxin Li. 2023-08-28. Explicit equations of the fake projective plane $(a=7,p=2,\emptyset,D_3 X_7)$. https://arxiv.org/abs/2308.14237

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