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arXiv · 2109.02070

On equations of fake projective planes with automorphism group of order $21$

Lev Borisov
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Abstract

We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of two new pairs of fake projective plane with $21$ automorphisms, thus finishing the task of finding explicit equations of fake projective planes with this automorphism group. This includes, in particular, the fake projective plane discovered by J. Keum.

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Lev Borisov. 2021-09-05. On equations of fake projective planes with automorphism group of order $21$. https://doi.org/10.46298/epiga.2023.8507

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