The degree of the bicanonical map of a surface with pg=0
Abstract
In this note it is shown that, given a smooth minimal complex surface of general type S with pg(S)=0, K2S=3, for which the bicanonical map is a morphism, then the degree of the bicanonical map of S is not equal to 3. This completes our earlier results, showing that if X is a minimal surface of general type with pg=0, K2>=3 such that |2KX| is free, then the bicanonical map of X can have degree 1, 2 or 4.
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