Geodesic
Three-dimensional varieties with rational sections
Sbornik. Mathematics, Tome 10 (1970) no. 4, pp. 569-579 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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[8] O. Zarisski, “Pencils on an algebraic variety and a new proof of a theorem of Bertini”, Trans. Amer. Math. Soc., 50 (1951), 48–70 | DOI | MR

[9] M. Baldassarri, Algebraicheskie mnogoobraziya, IL, Moskva, 1961 | MR

[10] Algebraicheskie poverkhnosti, Trudy matem. in-ta im. V. A. Steklova AN SSSR, 75, 1965 | MR | Zbl

[11] Yu. I. Manin, “Ratsionalnye poverkhnosti nad sovershennymi polyami”, Publ. Math. IHES, 1966, no. 30 | MR