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The paper by Manin is MR0258836 Manin, Ju. I. Correspondences, motifs and monoidal transformations. Mat. Sb. (N.S.) 77 (119) 1968 475--507 where he uses motives to prove the Weil conjectures for unirational projective 3-folds.

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The paper by Manin is MR0258836 Manin, Ju. I. Correspondences, motifs and monoidal transformations. Mat. Sb. (N.S.) 77 (119) 1968 475--507 where he uses motives to prove the Weil conjectures for unirational projective 3-folds.