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- W1970113219 abstract "A minimal surface of general type with p g ( S ) = 0 satisfies 1 [les ] K 2 [les ] 9, and it is known that the image of the bicanonical map φ is a surface for K 2 S [ges ] 2, whilst for K 2 S [ges ] 5, the bicanonical map is always a morphism. In this paper it is shown that φ is birational if K 2 S = 9, and that the degree of φ is at most 2 if K 2 S = 7 or K 2 S = 8. By presenting two examples of surfaces S with K 2 S = 7 and 8 and bicanonical map of degree 2, it is also shown that this result is sharp. The example with K 2 S = 8 is, to our knowledge, a new example of a surface of general type with p g = 0. The degree of φ is also calculated for two other known surfaces of general type with p g = 0 and K 2 S = 8. In both cases, the bicanonical map turns out to be birational." @default.
- W1970113219 created "2016-06-24" @default.
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- W1970113219 date "2001-05-01" @default.
- W1970113219 modified "2023-09-23" @default.
- W1970113219 title "THE BICANONICAL MAP OF SURFACES WITH <i>p</i><sub><i>g</i></sub> = 0 AND <i>K</i><sup>2</sup> [ges ] 7" @default.
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- W1970113219 doi "https://doi.org/10.1017/s0024609301008037" @default.
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