The motive of a Weil hypersurface

We study a special class of hypersurfaces V_p in a projective space over an algebraically closed field of arbitrary characteristic. We compute the motive of V_p in terms of the motives of the curves.Translated from Matematicheskie Zametki, Vol. 12, No. 5, pp. 555–560, November, 1972.The author wishes to express his deep gratitude to Yu. I. Manin under whose direction this paper was prepared.