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arXiv · 2208.04393

Lines highly tangent to a hypersurface

Anand Patel·Eric Riedl·Geoffrey Smith·Dennis Tseng
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Abstract

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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Anand Patel, Eric Riedl, Geoffrey Smith, Dennis Tseng. 2022-08-08. Lines highly tangent to a hypersurface. https://arxiv.org/abs/2208.04393

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