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Lines highly tangent to a hypersurface

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arxiv 2208.04393 v1 pith:JEWXZOTJ submitted 2022-08-08 math.AG

Anand Patel , Eric Riedl , Geoffrey Smith , Dennis Tseng This is my paper · ORCID
classification math.AG
keywords hypersurfacelinessmoothapplicationboundcontaineddegreeframes
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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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