Lines highly tangent to a hypersurface
Algebraic Geometry
2022-08-10 v1
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.
Cite
@article{arxiv.2208.04393,
title = {Lines highly tangent to a hypersurface},
author = {Anand Patel and Eric Riedl and Geoffrey Smith and Dennis Tseng},
journal= {arXiv preprint arXiv:2208.04393},
year = {2022}
}
Comments
Comments welcome!