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math.AG2022
Lines highly tangent to a hypersurface
Anand Patel, Eric Riedl, Geoffrey Smith +1
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 d…
math.AG2022
Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces
Xi Chen, Eric Riedl, Wern Yeong
We study the algebraic hyperbolicity of the complement of very general degree hypersurfaces in P^n. We prove the Algebraic Green-Griffiths-Lang Conjecture for these complement…