Rigidity properties of imprimitive Fano 3-folds (Q1380076)
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scientific article; zbMATH DE number 1121703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity properties of imprimitive Fano 3-folds |
scientific article; zbMATH DE number 1121703 |
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Rigidity properties of imprimitive Fano 3-folds (English)
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25 May 1998
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We show that for imprimitive Fano 3-folds with \(b_2=2\) and \(b_3=0\) the projective structure is merely determined by its topological type. The proof is based on the observation, that under the given restrictions to the Betti numbers, a contraction of an extremal ray exists. Then we can apply the classification of Fano 3-folds with \(b_2\geq 2\) by Mori and Mukai.
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Fano 3-folds
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projective structure
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topological type
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extremal ray
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0.8574591875076294
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0.8005439043045044
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0.760272204875946
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