Unirationality of certain surfaces |
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Authors: | A. M. Shermenev |
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Affiliation: | (1) M. V. Lomonosov Moscow State University, USSR |
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Abstract: | Nonsingular cubic surfaces in P3 and nonsingular intersections of two quadrics in P4 are investigated. It is proved that if a k-point exists on a surface, there is a k-point not on a line; k is the field over which the surfaces are defined.Translated from Matematicheskie Zametki, Vol. 5, No. 2, pp. 155–159, February, 1969.The author expresses his gratitude to Yu. I. Manin, under whose direction this work has been written. |
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