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On even surfaces of general type with \(K^2=8\), \(p_g=4\), \(q=0\) - MaRDI portal

On even surfaces of general type with \(K^2=8\), \(p_g=4\), \(q=0\) (Q861972)

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scientific article; zbMATH DE number 5121479
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English
On even surfaces of general type with \(K^2=8\), \(p_g=4\), \(q=0\)
scientific article; zbMATH DE number 5121479

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    On even surfaces of general type with \(K^2=8\), \(p_g=4\), \(q=0\) (English)
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    2 February 2007
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    The paper under review completely describes the moduli space of regular surfaces of general type with \(K^2=8\), \(p_g=4\) canonical class divisible by 2 and free from base points. It turns out that the canonical model is a codimension 2 complete intersection in a weighted projective space. The result is obtained by a careful study of the canonical ring.
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