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math.AG2020
Semitoric degenerations of Hibi varieties and flag varieties
Evgeny Feigin, Igor Makhlin
We construct a family of flat semitoric degenerations for the Hibi variety of every finite distributive lattice. The irreducible components of each degeneration are the toric varie…
math.CO2020
Gröbner fans of Hibi ideals, generalized Hibi ideals and flag varieties
Igor Makhlin
The main goal of this paper is to give explicit descriptions of two maximal cones in the Gröbner fan of the Plücker ideal. These cones correspond to the monomial ideals given by se…