Numerical invariants of Fano 4-folds (Q2852447)
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scientific article; zbMATH DE number 6214126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical invariants of Fano 4-folds |
scientific article; zbMATH DE number 6214126 |
Statements
Numerical invariants of Fano 4-folds (English)
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8 October 2013
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Fano varieties
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Picard rank
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The paper under review continues the study of the rank of Picard group of Fano manifolds [Ann. Sci. Éc. Norm. Supér. (4) 45, No. 3, 363--403 (2012; Zbl 1267.14050)]. In the cited paper the author introduced the invariant \(c_X\) for a Fano manifold \(X\), that roughly measures the difference between the picard number of \(X\) and of its prime divisors, and studied the case \(c_X>2\). In the present paper it is proved that if \(X\) is a Fano 4-fold and \(c_X=2\) then the rank of the Picard group is bounded by \(12\).
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