Finding equations of the fake projective plane (C18,p=3,\2I\)
Abstract
We find explicit equations of a new pair of fake projective planes, labeled by (C18,p=3,\2I\) in the Cartwright-Steger classification. Our method involves starting with known equations of a commensurable fake projective plane (C18,p=3,,d3 D3) and working through a chain of cyclic covers and quotients to get to the new one.
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