If a smooth projective toric variety of dimension n≥2 satisfies uniform unimodularity and Thomsen stratification intersection-number conditions, then any line bundle L with L·C ≥ n-1+p on every T-invariant curve satisfies Property N_p.
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On Property $N_p$ of line bundles on smooth projective toric varieties
If a smooth projective toric variety of dimension n≥2 satisfies uniform unimodularity and Thomsen stratification intersection-number conditions, then any line bundle L with L·C ≥ n-1+p on every T-invariant curve satisfies Property N_p.