On the n-th row of the graded Betti table of an n-dimensional toric variety

We prove an explicit formula for the first nonzero entry in the n-th row of an n-dimensional projective toric variety associated with a normal polytope with at least one interior lattice point. This applies to Veronese embeddings of projective space. We also prove an explicit formula for the entire n-th row if the interior of the polytope is one-dimensional. All results are valid over an arbitrary field k.status: accepte