Fano 3-folds from homogeneous vector bundles over Grassmannians (Q2674024)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fano 3-folds from homogeneous vector bundles over Grassmannians |
scientific article |
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Fano 3-folds from homogeneous vector bundles over Grassmannians (English)
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22 September 2022
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In this paper, the classification and the construction of \(105\) families of Fano \(3\)-folds are resumed. As the main result, the authors describe a model of a general element of each family as the zero locus of a section of a homogeneous vector bundle on a product of Grassmannians. As an advantage of their computational description, they provide efficient computation of some invariants of a Fano variety such as Hodge numbers.
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Fano threefolds
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vector bundles
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Grassmannians
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birational geometry
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