All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
Mirkovi\'c-Vilonen Polytopes from Combinatorics, 2023, arXiv:2311.16979
2 Pith papers cite this work. Polarity classification is still indexing.
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In type A, positive Minkowski sum of Schubert-matroid MV polytopes yields an MV polytope precisely when the indexing family is weakly separated.
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Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation
In type A, positive Minkowski sum of Schubert-matroid MV polytopes yields an MV polytope precisely when the indexing family is weakly separated.