Drinfeld modules of rank 1 and algebraic curves with many rational points (Q1291887)
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scientific article; zbMATH DE number 1300158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Drinfeld modules of rank 1 and algebraic curves with many rational points |
scientific article; zbMATH DE number 1300158 |
Statements
Drinfeld modules of rank 1 and algebraic curves with many rational points (English)
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16 April 2002
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Let \(\mathbb{F}_p\) be the base finite field with \(p\) elements, \(p\) prime. Algebraic curves with large numbers of rational points with respect to the genus are of great utility. In the paper being reviewed, the authors construct such curves through the use of Drinfeld modules of rank one and their connection to abelian reciprocity laws.
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algebraic curves over finite fields
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large numbers of rational points
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Drinfeld modules
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abelian reciprocity laws
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