English

The Bicanonical map of fake projective planes with an automorphism

Algebraic Geometry 2018-03-28 v2

Abstract

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

Keywords

Cite

@article{arxiv.1801.05291,
  title  = {The Bicanonical map of fake projective planes with an automorphism},
  author = {Fabrizio Catanese and JongHae Keum},
  journal= {arXiv preprint arXiv:1801.05291},
  year   = {2018}
}

Comments

A 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