Linear syzygies of curves in weighted projective space

Abstract

We develop analogues of Green's $N_p$-conditions for subvarieties of weighted projective space, and we prove that such $N_p$-conditions are satisfied for high degree embeddings of curves in weighted projective space. A key technical result links positivity with low degree (virtual) syzygies in wide generality, including cases where normal generation fails.

29 pages

References in corpus (1)

• Positivity and nonstandard graded Betti numbers