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math.AG2025
Bethe subspaces and wonderful models for toric arrangements
Aleksei Ilin, Leonid Rybnikov
We study the family of commutative subspaces in the trigonometric holonomy Lie algebra , introduced by Toledano Laredo, for an arbitrary root system . We ca…
math.AG2023
The moduli space of cactus flower curves and the virtual cactus group
Aleksei Ilin, Joel Kamnitzer, Yu Li +2
The space $ \ft_n = \C^n/\C $ of points on the line modulo translation has a natural compactification $ \overline \ft_n $ as a matroid Schubert variety. In this space, pairwise…