Powers of ample divisors and syzygies of projective varieties

2002/09/13 by Huy Tai Ha, Ha, Huy Tai
Mathematics · #14E25 #14F05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:14E25 #msc:14F05

paper · pdf · doi:10.48550/arxiv.math/0209157

This paper has been withdrawn

arxiv created 2003/07/14 · arxiv updated 2009/11/30

Abstract

Suppose X is a projective variety, which needs not be smooth, and L an ample divisor on X. We show that there are integers c and b such that for any nonnegative integer p, L^d is normally generated and embeds X as a variety who defining ideal has linear syzygies upto the p-th step (i.e. L^d has property N_p) for all d >= cp + b.

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