Algebraic surfaces whose canonical image has a pencil of rational curves of degree two (Q1188027)
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scientific article; zbMATH DE number 39989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic surfaces whose canonical image has a pencil of rational curves of degree two |
scientific article; zbMATH DE number 39989 |
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Algebraic surfaces whose canonical image has a pencil of rational curves of degree two (English)
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3 August 1992
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The author proves that the irregularity of a surface of general type with \(p_ g\geq 56\) and canonical map of degree 6 is bounded by 5. This improves an earlier result of \textit{G. Xiao} [Math. Ann. 274, 473-483 (1986; Zbl 0571.14019) and Duke Math. J. 55, 597-602 (1987; Zbl 0651.14021)] who also gave the bounds for irregularity of surfaces of general type with the canonical map of degree \(d=5,\) 6, 7, 8. The method of the proof is similar to to the one of Xiao.
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irregularity
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surface of general type
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canonical map
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