Geodesic
The intermediate Jacobian of the double covering of $P^3$ branched at a~quartic
Izvestiya. Mathematics , Tome 17 (1981) no. 3, pp. 523-566.

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In this paper we study the intermediate Jacobian $J_3(X)$ of a double covering $X$ of $P^3$ branched at a smooth quartic which does not contain projective lines. We prove an analogue of the Riemann theorem for the Poincare's divisor of the intermediate Jacobian $J_3(X)$, the global Torelli theorem for $X$, and the nonrationality of $X$. Bibliography: 13 titles. 
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A. S. Tikhomirov. The intermediate Jacobian of the double covering of $P^3$ branched at a~quartic. Izvestiya. Mathematics , Tome 17 (1981) no. 3, pp. 523-566. http://geodesic.mathdoc.fr/item/IM2_1981_17_3_a4/

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