Abstract
We generalize a theorem of Griffiths concerning the fact that a primitive cycle of half dimension on a hypersurface in p2m+1 yields cycles algebraically not equivalent to zero but homologous to zero on hyperplane sections.
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Translated from Matematicheskie Zametki, Vol. 16, No. 4, pp. 563–570, October, 1974.
In conclusion, the author expresses his thanks to Yu. I. Manin for his statement of the problem and useful discussions.
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Kii, K.I. Generalization of a theorem of Griffiths concerning algebraic cycles. Mathematical Notes of the Academy of Sciences of the USSR 16, 927–931 (1974). https://doi.org/10.1007/BF01104257
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DOI: https://doi.org/10.1007/BF01104257