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math.AG2021
Relative poset polytopes and semitoric degenerations
Evgeny Feigin, Igor Makhlin
The two best studied toric degenerations of the flag variety are those given by the Gelfand--Tsetlin and FFLV polytopes. Each of them degenerates further into a particular monomial…
math.AG2021
Beyond the Sottile-Sturmfels degeneration of a semi-infinite Grassmannian
Evgeny Feigin, Igor Makhlin, Alexander Popkovich
We study toric degenerations of semi-infinite Grassmannians (a.k.a. quantum Grassmannians). While the toric degenerations of the classical Grassmannians are well studied, the only…