The Bicanonical map of fake projective planes with an automorphism

Abstract

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

arXiv commentA new section (Section 6) is added to point out that, due to many wrong proofs, the main result of the paper by S.-K. Yeung [Very ampleness of the bicanonical line bundle on compact complex 2-ball quotients, Forum Math. 2017;30(2): 419-432] is not proven at all