Equations of \(G\)-minimal conic bundles (Q2880048)
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scientific article; zbMATH DE number 6023002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equations of \(G\)-minimal conic bundles |
scientific article; zbMATH DE number 6023002 |
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12 April 2012
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Cremona group
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conic bundle
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0.94455993
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0.8982265
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0.8744458
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0.8742605
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0.87406194
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Equations of \(G\)-minimal conic bundles (English)
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The authors develop a method for the computation of the equation of a \(G\)-minimal bundle of conics with an arbitrary number of singular fibres. A detailed classification is given in the case of 4, 6, or 7 singular fibres. Further, the equation of the minimal conic bundles \((S,G)\) and an explicit description of the action of \(G\) on the Picard group \(\mathrm{Pic}(S)\) and on the surface \(S\) is given.
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