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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.AG2014★ 1 cited
Extremal effective divisors of Brill-Noether and Gieseker-Petri type in
Dawei Chen, Anand Patel
We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with ordered mark…