Abstract
We obtain an equation for the number of straight lines on the complete intersection of hypersurfaces and find Hilbert's polynomial for the variety of straight lines of a cubic three-dimensional hypersurface.
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Translated from Matematicheskie Zametki, Vol. 13, No. 1, pp. 87–96, January, 1973.
The author wishes to use this opportunity to express his deep gratitude to Yu. I. Manin under whose direction this paper was written.
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Libgober, A.S. Numerical characteristics of systems of straight lines on complete intersections. Mathematical Notes of the Academy of Sciences of the USSR 13, 51–56 (1973). https://doi.org/10.1007/BF01093629
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DOI: https://doi.org/10.1007/BF01093629