On canonical surfaces of general type with K \(2=3_{\chi}-10\) (Q1090726)
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scientific article; zbMATH DE number 4008561
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On canonical surfaces of general type with K \(2=3_{\chi}-10\) |
scientific article; zbMATH DE number 4008561 |
Statements
On canonical surfaces of general type with K \(2=3_{\chi}-10\) (English)
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1988
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Canonically embedded regular surfaces with \(K^ 2=3p_ g-7\) are classified, generally following the treatment of Castelnuovo and Harris. The case of \(p_ g=7\) and \(K^ 2=14\) is discussed in some detail; in this case there is a component of the moduli space which consists of surfaces which are everywhere obstructed: the Kuranishi family for the general member of this component is not reduced.
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canonically embedded regular surfaces
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classification
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moduli space
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canonical divisor
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