Lines highly tangent to a hypersurface

Anand Patel,Eric Riedl,Geoffrey Smith,Dennis Tseng

arxiv（2022）

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摘要

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.

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