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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
Products of boundary classes on M_0,n-bar via balanced weights
Maria Gillespie, Jake Levinson
In this note, we give a simple closed formula for an arbitrary product, landing in dimension 0, of boundary classes on the Deligne--Mumford moduli space M_0,n-bar. For any such bou…
math.AG2023
Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors
Jake Levinson, David Stapleton, Brooke Ullery
In this paper we study the degrees of irrationality of hypersurfaces of large degree in a complex projective variety. We show that the maps computing the degrees of irrationality o…