A note on the Tate pairing of curves over finite fields
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.
scientific article; zbMATH DE number 2101537