Koszul cohomology and singular curves

Abstract

We investigate Koszul cohomology on irreducible nodal curves. In particular, we prove both Green and Green-Lazarsfeld conjectures for the general k-gonal nodal curve.

References in corpus (2)

• Remarks on syzygies of $d$-gonal curves
• Green-Lazarsfeld's Conjecture for Generic Curves of Large Gonality