论文标题
与高度表面高度相切的线
Lines highly tangent to a hypersurface
论文作者
论文摘要
我们研究了在高阶中以P^n符合平滑性超表面X的线路的空间。作为应用程序,我们在p^5中的平滑度d hypersurface中包含的平面数量上给出了多项式上限,并提供了Landsberg结果的证明,而无需使用移动框架。
We study spaces of lines that meet a smooth hypersurface X in P^n to high order. As an application, we give a polynomial upper bound on the number of planes contained in a smooth degree d hypersurface in P^5 and provide a proof of a result of Landsberg without using moving frames.