本文用作者的Ｒｏｋｈｌｉｎ同余公式来计算旋复超曲面的α－不变量．将此结果与Ｌａｗｓｏｎ－Ｍｉｃｈｅｌｓｈｏｎ及Ｈｉｒｚｅｂｒｕｃｈ以前的结果相结合并应用Ｓｔｏｌｚ的一定理，可以确定什么样的旋复超曲面上具有数量曲率为正的Ｒｉｅｍａｎｎ度量．

In this paper we apply the Rokhlin type congruence of the author to computethe α-invariant of spin complex hypersurfaces. Combining with a theorem of Stolz, and Previouscalculations of Hirzebruch and Lawson-Michelsohn, our result determines whether a spin complexhypersurface of dimension not less than three would carry a Riemannian metric of the positivescalar curvature.