Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines (Q2014750)
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scientific article; zbMATH DE number 6304702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines |
scientific article; zbMATH DE number 6304702 |
Statements
Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines (English)
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16 June 2014
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Summary: We study the Hilbert function of the union \(X\) of a given zero-dimensional scheme \(Z\subset \mathbb P^r\), \(r\geq 4\), and \(t\) general lines of \(\mathbb P^r\), proving, for example, that if \(t \gg \mathrm{deg}(Z)\), then \(X\) has maximal rank.
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