Powers of ample divisors and syzygies of projective varieties
Algebraic Geometry
2007-05-23 v2 Commutative Algebra
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.
Cite
@article{arxiv.math/0209157,
title = {Powers of ample divisors and syzygies of projective varieties},
author = {Huy Tai Ha},
journal= {arXiv preprint arXiv:math/0209157},
year = {2007}
}
Comments
This paper has been withdrawn