Regular switching sets and ruled cubics in \(\text{PG}(5,q)\). Translation planes associated with them. (Q2368643)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular switching sets and ruled cubics in \(\text{PG}(5,q)\). Translation planes associated with them. |
scientific article |
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Regular switching sets and ruled cubics in \(\text{PG}(5,q)\). Translation planes associated with them. (English)
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26 April 2006
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The authors prove that a regular spread of \(\text{PG}(5,q)\) contains a ruling \(R\) of a cubic surface, which has three different type of rulings. Hence, replacing \(R\) with another ruling they obtain a non-regular spread.
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