Fence complexes are associated to positroid varieties, shown to be balls with matching Ehrhart and Hilbert polynomials, and positroid varieties degenerate to reduced unions of toric varieties corresponding to the complexes.
Francisco, Jeffrey Mermin, and Jay Schweig
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Fence Complexes and Toric Degenerations of Positroid Varieties
Fence complexes are associated to positroid varieties, shown to be balls with matching Ehrhart and Hilbert polynomials, and positroid varieties degenerate to reduced unions of toric varieties corresponding to the complexes.