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.
MR 3410115 [Fer26] Luis Ferroni,From Eulerian to Bernoulli numbers via Ehrhart polynomials, Amer
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K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
Proof of identities between second Eulerian numbers and Bernoulli numbers via Ehrhart-theoretic lattice-point counting.
All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
Proves if-and-only-if equivalences for toric ring normality and quadratic toric ideal generation between anti-blocking lattice polytopes and their unconditional reflections, plus a graph-theoretic characterization of quadratic symmetric stable set ideals.
Gorenstein simplices with the given h*-polynomial are classified up to unimodular equivalence by strict divisor chains in the divisor lattice of v, yielding an explicit counting formula.
Derives quasi-polynomial formula for local Euler characteristics on A_n singularities via toric geometry and applies it to establish hyperbolicity properties for a family of surfaces in P^3.
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Classification and counting of Gorenstein simplices with $h^*$-polynomial $1+t^k+\cdots+t^{(v-1)k}$
Gorenstein simplices with the given h*-polynomial are classified up to unimodular equivalence by strict divisor chains in the divisor lattice of v, yielding an explicit counting formula.