The bicanonical map of the Cartwright-Steger surface

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 K2=2, pg=1, π1=\1\ and the other has K2=1, pg=0, π1=Z/2Z.

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