Powers of ample divisors and syzygies of projective varieties
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, Ld is normally generated and embeds X as a variety who defining ideal has linear syzygies upto the p-th step (i.e. Ld has property Np) for all d >= cp + b.
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