Syzygies, regularity and toric varieties

2004/02/20 by Milena Hering, Hering, Milena
Mathematics · #14C20 #14M25 (Primary) 13D02 #52B20 (Secondary) #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:13D02 #msc:14C20 #msc:14M25 #msc:52B20

paper · pdf · doi:10.48550/arxiv.math/0402328

7 pages

arxiv created 2004/02/20 · arxiv updated 2009/12/01

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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