The intermediate Jacobian of a~three-dimensional conic bundle is a~Prym variety
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 269-277

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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.
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     author = {S. Yu. \`Endryushka},
     title = {The intermediate {Jacobian} of a~three-dimensional conic bundle is {a~Prym} variety},
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S. Yu. Èndryushka. The intermediate Jacobian of a~three-dimensional conic bundle is a~Prym variety. Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 269-277. http://geodesic.mathdoc.fr/item/SM_1985_50_1_a17/