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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1983 Volume 122(164), Number 2(10), Pages 276–285 (Mi sm2291)

This article is cited in 4 papers

The intermediate Jacobian of a three-dimensional conic bundle is a Prym variety

S. Yu. Èndryushka


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.

UDC: 513.6

MSC: Primary 14K30; Secondary 14J99, 14E05

Received: 10.09.1982


 English version:
Mathematics of the USSR-Sbornik, 1985, 50:1, 269–277

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