Green's Conjecture for the generic canonical curve

1998/06/04 by Montserrat Teixidor i Bigas, Montserrat Teixidor-I-Bigas, Teixidor-I-Bigas, Montserrat
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #math.AG

paper · pdf · doi:10.48550/arxiv.math/9806017

13 pages Latex

arxiv created 1998/06/04 · arxiv updated 2009/11/30

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.

Related

• New evidence for Green's conjecture on syzygies of canonical curves
• Generic Green's Conjecture and Generic Geometric Syzygy Conjecture in Positive Characteristic
• Green's canonical syzygy conjecture for ribbons
• green's canonical syzygy conjecture for generic curves of odd genus
• A proof of generic Green's conjecture in odd genus