The bicanonical map of the Cartwright-Steger surface
classification
🧮 math.AG
keywords
cartwright-stegersurfacebicanonicalmathbbcovereddiscussembeddinggeneral
read the original 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 $K^2=1$, $p_g=0$, $\pi_1=\mathbb{Z}/2\mathbb{Z}$.
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