Abstract:
The paper contains the computation of the intermediate Jacobian of the general conic bundle. This computation is performed in three steps: a) computation of the Betti number (§ 2), b) computation of the Jacobian to within isogeny (§ 4), and c) computation of the polarization (§ 4).
The author's results conclude the study of the intermediate Jacobian of conic bundles and give an efficient general answer.
Bibliography: 6 titles.