Powers of ample divisors and syzygies of projective varieties

Details Powers of ample divisors and syzygies of projective varieties Powers of ample divisors and syzygies of projective varieties

2002-09-13

arxiv.org/abs/math/0209157v2

Mathematics

Algebraic Geometry

This paper has been withdrawn

Scientific paper

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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