The bicanonical map of the Cartwright-Steger surface

JongHae Keum

The bicanonical map of the Cartwright-Steger surface

Algebraic Geometry 2018-02-12 v4

Authors: JongHae Keum

Abstract

We prove that the bicanonical map of the Cartwright-Steger surface is an embedding. We also discuss two minimal surfaces of general type, both covered by the Cartwright-Steger surface. One has $K^2=2$ , $p_g=1$ , $\pi_1=\{1\}$ and the other has $K^2=1$ , $p_g=0$ , $\pi_1=\mathbb{Z}/2\mathbb{Z}$ .

Keywords

del pezzo surfaces minimal surfaces surfaces and embeddings

Cite

@article{arxiv.1801.00733,
  title  = {The bicanonical map of the Cartwright-Steger surface},
  author = {JongHae Keum},
  journal= {arXiv preprint arXiv:1801.00733},
  year   = {2018}
}

Comments

15 pages. Stronger result than in the previous version

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