This paper considers the following fundamental problem about intersections in projective space: When is the intersection of a (varying) curve with a (fixed) hypersurface a general set of points on the hypersurface?

中文翻译：

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曲线截面的一般性

本文考虑了以下关于投影空间中相交的基本问题：（变化的）曲线与（固定的）超曲面的交点何时是超曲面上的一般点集？