A note on the Picard number of singular Fano 3-folds (Q2452192)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the Picard number of singular Fano 3-folds |
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A note on the Picard number of singular Fano 3-folds (English)
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30 May 2014
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The author proves the following result. Theorem. Let \(X\) be a singular factorial Fano \(3\)-fold with isolated canonical singularities. Then the Picard number of \(X\) is at most \(6\). The proof is based on a lemma which studies contractions of Fano \(3\)-folds with large Picard number.
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Fano varieties
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3-fold
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Picard number
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singularities
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