Computing the Cassels–Tate pairing for genus two jacobians with rational two-torsion points
Computing the Cassels–Tate pairing for genus two jacobians with rational two-torsion points
Abstract In this paper, we give an explicit formula as well as a practical algorithm for computing the Cassels–Tate pairing on $\text{Sel}^{2}(J) \times \text{Sel}^{2}(J)$ where J is the Jacobian variety of a genus two curve under the assumption that all points in J [2] are K -rational. We also give …