Nonexistence of ovoids in \(\Omega^+(10,3)\) (Q1824858)
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scientific article; zbMATH DE number 4119077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonexistence of ovoids in \(\Omega^+(10,3)\) |
scientific article; zbMATH DE number 4119077 |
Statements
Nonexistence of ovoids in \(\Omega^+(10,3)\) (English)
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1989
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The author shows that if there is an ovoid in \(\Omega^+(10,3)\), then for each point s of the ovoid, the space \(s^{\perp}/s\) of type \(\Omega^+(8,3)\) would contain an ovoid. The ovoids in \(\Omega^+(8,3)\) are known. By examining their properties carefully, the author is able to obtain a contradiction.
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polar space
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ovoid
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0.9002349
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0.88213426
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0.8798996
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0.8282205
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0.82707953
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0.8188982
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