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math.AG2026
Permutahedra, Lusztig varieties, degenerations, and subdivisions
Allen Knutson, Mario Sanchez, Melissa Sherman-Bennett
We present an embedded (in ) degeneration of Lusztig varieties (which generalize type Hessenberg varieties) to certain unions of Richardson varieties, giving a simultaneou…
math.CO2026
Persistent Subdivisions of Coxeter Permutahedra
Timothy Blanton, Jesús A. De Loera, Melissa Sherman-Bennett
We investigate the realizations of Coxeter permutahedra which are also Coxeter matroid polytopes; these are polytopes of the form where is a…
math.AG2026
Unexpected toric Richardson varieties
Eugene Gorsky, Soyeon Kim, Melissa Sherman-Bennett
We prove that an open Richardson variety in the complete flag variety for is isomorphic to a torus if and only if the corresponding closed Richardson variety is tor…