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math.AG2023
Rational Curves in Projective Toric Varieties
Nathan Ilten, Jake Levinson
We study embedded rational curves in projective toric varieties. Generalizing results of the first author and Zotine for the case of lines, we show that any degree rational cur…
math.AG2023
Local Euler characteristics of -singularities and their application to hyperbolicity
Nils Bruin, Nathan Ilten, Zhe Xu
Wahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the loca…