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

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 particu...

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Bibliographic Details
Main Author: Lev Borisov
Format: Article
Language:English
Published: Association Epiga 2023-05-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/8507/pdf