Sets with a large number of nuclei on a cubic curve (Q1865873)
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scientific article; zbMATH DE number 1890534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sets with a large number of nuclei on a cubic curve |
scientific article; zbMATH DE number 1890534 |
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Sets with a large number of nuclei on a cubic curve (English)
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27 November 2003
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In this paper it is shown that if \(B\) is a set of \(q+1\) points in PG\((2,q)\) with \(q\geq 102000,\) \(C_{(3)}\) is an irreducible, non-singular cubic curve and \(|N(B)\cap C_{(3)}|>(2/3)q+4\) then \(B\) is a line while \(N(B)\) denotes the collection of nuclei.
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Desarguesian plane
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nucleus
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algebraic curve
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0.8506273031234741
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0.848373293876648
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0.8012694716453552
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0.7990953326225281
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0.7985408902168274
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