Quelques calculs dans les variétés d'alignements. (Some calculations in line varieties) (Q1090377)
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scientific article; zbMATH DE number 4006430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quelques calculs dans les variétés d'alignements. (Some calculations in line varieties) |
scientific article; zbMATH DE number 4006430 |
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Quelques calculs dans les variétés d'alignements. (Some calculations in line varieties) (English)
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1987
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The author interpretes the k-secant linear varieties of an algebraic variety X (over an algebraically closed field of characteristic zero) as elements of the Hilbert scheme \(Hilb^ kX\) parametrizing zero- dimensional subschemes of length k and, then he uses intersection theory to obtain formulas for k-secant lines. In particular many classical formulas for curves are verified.
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k-secant linear varieties
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Hilbert scheme
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