Formal neighbourhoods of a toric variety and unirationality of algebraic varieties (Q1890830)
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scientific article; zbMATH DE number 757985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal neighbourhoods of a toric variety and unirationality of algebraic varieties |
scientific article; zbMATH DE number 757985 |
Statements
Formal neighbourhoods of a toric variety and unirationality of algebraic varieties (English)
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23 May 1995
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Assume that a nonsingular complete algebraic variety \(X\) of dimension \(n + 2\) contains a nonsingular rational surface \(S\) with ample normal bundle. Is \(X\) then unirational? This paper provides a partial answer to this question under the assumption that the surface \(S\) is toric and certain additional assumptions on the normal bundle of \(S\). The proof is done by observing the formal neighbourhood of the surface \(S\).
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unirationality
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rational subvariety
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toric surface
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formal neighbourhood
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0.6818961501121521
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0.6741268634796143
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