Smooth surfaces of degree 9 in G(1,3) (Q1120632)
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scientific article; zbMATH DE number 4101369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth surfaces of degree 9 in G(1,3) |
scientific article; zbMATH DE number 4101369 |
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Smooth surfaces of degree 9 in G(1,3) (English)
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1988
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The author gives a classification of smooth congruences of lines of degree \( 9\) in three-dimensional complex projective space. Proofs are given in terms of the associated grassmannian G(1,3), i.e. Klein's quadric. Moreover explicit constructions for these congruences are given. The paper extends a classical result on congruences of degree \(<9\) due to G. Fano (1893).
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classification of smooth congruences of lines of \(\deg ree\quad 9\)
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grassmannian
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0.8837608
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0.8446968
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0.8308262
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0.8242029
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