On the <Emphasis Type="Italic">n</Emphasis>-th row of the graded Betti table of an <Emphasis Type="Italic">n</Emphasis>-dimensional toric variety |
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Authors: | Alexander Lemmens |
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Institution: | 1.Department of Mathematics,KU Leuven,Leuven,Belgium |
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Abstract: | We prove an explicit formula for the first nonzero entry in the n-th row of the graded Betti table 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 \(\mathbb {P}^n\). We also prove an explicit formula for the entire n-th row when the interior of the polytope is one-dimensional. All results are valid over an arbitrary field k. |
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