2604.01329 Syzygies of Canonical Curves of Genus 9 Satisfy Green's Conjecture: A Koszul Cohomology Approach
We establish new results concerning syzygies in the context of greens conjecture, resolving a question that has remained open since it was first posed in the literature. Our approach combines techniques from canonical curves with careful analysis of degeneration phenomena to construct explicit examples and derive sharp bounds.