Schubitopes S_D are lattice-free precisely when their Ehrhart polynomial equals the product of the Ehrhart polynomials of the Schubert matroid polytopes for each column of D, which implies the Newton polytopes of Schubert and Grothendieck polynomials are lattice-free exactly for permutations that sh
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Lattice-free Schubitopes
Schubitopes S_D are lattice-free precisely when their Ehrhart polynomial equals the product of the Ehrhart polynomials of the Schubert matroid polytopes for each column of D, which implies the Newton polytopes of Schubert and Grothendieck polynomials are lattice-free exactly for permutations that sh