A note on the Tate pairing of curves over finite fields (Q1880185)
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scientific article; zbMATH DE number 2101537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the Tate pairing of curves over finite fields |
scientific article; zbMATH DE number 2101537 |
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A note on the Tate pairing of curves over finite fields (English)
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22 September 2004
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The author provides a very short proof of the non-degeneracy of the Tate \(m\)-pairing on the Jacobian of a curve over a finite field in the case where the finite field contains the \(m\)-th roots of unity. The proof is obtained by combining elementary facts about curves with the Chebotarev density theorem for function fields.
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curve
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finite field
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Tate pairing
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Chebotarev density theorem
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