Three-dimensional varieties with rational sections
Sbornik. Mathematics, Tome 10 (1970) no. 4, pp. 569-579

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In the paper we prove the following Theorem. A three-dimensional nonsingular variety over the field of complex numbers whose generic hyperplane sections are nonsingular rational surfaces is birationally equivalent either to projective three-space or to a cubic variety in projective four-space. Bibliography: 11 titles.
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     author = {B. V. Martynov},
     title = {Three-dimensional varieties with rational sections},
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     url = {http://geodesic.mathdoc.fr/item/SM_1970_10_4_a6/}
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B. V. Martynov. Three-dimensional varieties with rational sections. Sbornik. Mathematics, Tome 10 (1970) no. 4, pp. 569-579. http://geodesic.mathdoc.fr/item/SM_1970_10_4_a6/