Ruled cubic surfaces in PG\((4,q)\), Baer subplanes of PG\((2,q^2)\) and Hermitian curves (Q1598811)
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scientific article; zbMATH DE number 1746249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ruled cubic surfaces in PG\((4,q)\), Baer subplanes of PG\((2,q^2)\) and Hermitian curves |
scientific article; zbMATH DE number 1746249 |
Statements
Ruled cubic surfaces in PG\((4,q)\), Baer subplanes of PG\((2,q^2)\) and Hermitian curves (English)
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28 May 2002
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Any translation plane \(\pi\) of order \(q^2\) with kernel containing \(GF(q)\) can be represented in \(PG(4,q)\). In the case that \(\pi=PG(2,q^2)\), it is shown how unitals are represented, with consequent characterisations of classical unitals (Hermitian curves).
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Baer subplane
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Hermitian curve
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representation
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