The degree of the bicanonical map of a surface with pg=0
Lopes, Margarida Mendes · Pardini, Rita
الأصل · EN
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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