On moduli of regular surfaces with \(K^2=8\) and \(p_q=4\) (Q1428809)
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scientific article; zbMATH DE number 2065401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On moduli of regular surfaces with \(K^2=8\) and \(p_q=4\) |
scientific article; zbMATH DE number 2065401 |
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On moduli of regular surfaces with \(K^2=8\) and \(p_q=4\) (English)
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18 May 2004
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Summary: Let \(S\) be a surface of general type with non-birational bicanonical map that does not contain a pencil of genus 2 curves. If \(K^2_S =8\), \(p_g(S)=4\) and \(q(S)=0\) then \(S\) can be given as a double cover of a quadric surface. We show that its moduli space is generically smooth of dimension 38 and single out an open subset. Note that for these surfaces \(h^2(S,T_S)\) is not zero.
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nonbirational bicanonical map
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surface of general type
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minimal regular surface
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moduli space
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