Quadratic sets of a 3-dimensional locally projective regular planar space (Q1772526)
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scientific article; zbMATH DE number 2157927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic sets of a 3-dimensional locally projective regular planar space |
scientific article; zbMATH DE number 2157927 |
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Quadratic sets of a 3-dimensional locally projective regular planar space (English)
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18 April 2005
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Let \((\mathcal S, \mathcal L, \mathcal P)\) be a 3-dimensional locally projective planar space in which all lines have the same length. A quadratic set of \(\mathcal S\) is defined exactly as in the case of projective spaces. The authors show that nondegenerate quadratic sets only exist in projective and affine spaces.
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