Lines highly tangent to a hypersurface

2022/08/08 by Patel, Anand, Riedl, Eric, Smith, Geoffrey +1
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.04393

Abstract

We study spaces of lines that meet a smooth hypersurface X in Pⁿ 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 P⁵ and provide a proof of a result of Landsberg without using moving frames.

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