Syzygies, regularity and toric varieties

Milena Hering

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Syzygies, regularity and toric varieties

Milena Hering

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Abstract

Let A be an ample line bundle on a projective toric variety X of dimension n. We show that if l>=n-1+p, then A^l satisfies the property N_p. Applying similar methods, we obtain a combinatorial theorem: For a given lattice polytope P we give a criterion for an integer m to guarantee that mP is normal.

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Milena Hering. 2004-02-20. Syzygies, regularity and toric varieties. https://arxiv.org/abs/math/0402328

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