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- W2801693488 abstract "A minimal surface of general type with $p_g(S)=0$ satisfies $1le K^2le 9$ and it is known that the image of the bicanonical map $fie$ is a surface for $K_S^2geq 2$, whilst for $K^2_Sgeq 5$, the bicanonical map is always a morphism. In this paper it is shown that $fie$ is birational if $K_S^2=9$ and that the degree of $fie$ is at most 2 if $K_S^2=7$ or $K_S^2=8$. By presenting two examples of surfaces $S$ with $K_S^2=7$ and 8 and bicanonical map of degree 2, it is also shown that this result is sharp. The example with $K_S^2=8$ is, to our knowledge, a new example of a surface of general type with $p_g=0$." @default.
- W2801693488 created "2018-05-17" @default.
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- W2801693488 date "1999-10-14" @default.
- W2801693488 modified "2023-09-24" @default.
- W2801693488 title "A note on surfaces of general type with $p_g=0$ and $K^2ge 7$" @default.
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