The Bicanonical map of fake projective planes with an automorphism

TL;DR

This paper proves that for certain fake projective planes with automorphisms, the bicanonical map is an embedding, enhancing understanding of their geometric structure.

Contribution

It establishes the embedding property of the bicanonical map for specific fake projective planes with automorphisms, a new result in their classification.

Findings

Bicanonical map is an embedding for several fake projective planes with automorphisms

Provides new insights into the geometry of fake projective planes

Advances classification of fake projective planes based on automorphism groups

Abstract

We show, for several fake projective planes with nontrivial automorphism group, that the bicanonical map is an embedding.