English

Syzygies, regularity and toric varieties

Algebraic Geometry 2007-05-23 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.math/0402328,
  title  = {Syzygies, regularity and toric varieties},
  author = {Milena Hering},
  journal= {arXiv preprint arXiv:math/0402328},
  year   = {2007}
}

Comments

7 pages