Defines affine subspace concentration conditions for lattice polytopes and proves they hold for smooth reflexive ones with barycenter at the origin by checking slope stability of a canonical bundle extension on Fano toric varieties.
Fulton, Introduction to toric varieties, Ann.\ of Math.\ Stud., vol 131, The William H.\ Rover Lectures in Geometry, Princeton Univ
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Affine Subspace Concentration Conditions
Defines affine subspace concentration conditions for lattice polytopes and proves they hold for smooth reflexive ones with barycenter at the origin by checking slope stability of a canonical bundle extension on Fano toric varieties.