Syzygies, regularity and toric varieties

Details Syzygies, regularity and toric varieties Syzygies, regularity and toric varieties

2004-02-20

arxiv.org/abs/math/0402328v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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