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.
@article{SM_1970_10_4_a6,
author = {B. V. Martynov},
title = {Three-dimensional varieties with rational sections},
journal = {Sbornik. Mathematics},
pages = {569--579},
publisher = {mathdoc},
volume = {10},
number = {4},
year = {1970},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1970_10_4_a6/}
}
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/