Green's Conjecture for the generic canonical curve

Abstract

Green's Conjecture states the following : syzygies of the canonical model of a curve are simple up to the p^th stage if and only if the Clifford index of C is greater than p. We prove that the generic curve of genus g satisfies Green's conjecture.

arXiv comment13 pages Latex

Cited by in corpus (1)

• Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8