A characterization of Hermitian curves (Q1176183)
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scientific article; zbMATH DE number 13559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of Hermitian curves |
scientific article; zbMATH DE number 13559 |
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A characterization of Hermitian curves (English)
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25 June 1992
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Hermitian curves can be characterized in various ways. The authors present a new characterization by showing that in \(PG(2,q)^ 2\), with \(q\neq 2\), an algebraic curve of degree \(q+1\), without linear components, and with at least \(q^ 3+1\) points in \(PG(2,q^ 2)\) is a Hermitian curve. They also explain why the result does not hold for \(GF(4)\) or if linear components are allowed.
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Hermitian arc
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unital
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Hermitian curve
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