Syzygies of curves beyond Green's Conjecture

TL;DR

This paper surveys recent advances in understanding syzygies of algebraic curves beyond Green's conjecture, highlighting connections to moduli theory and presenting three key results.

Contribution

It provides a comprehensive overview of three new results on curve syzygies beyond Green's conjecture, linking them to broader topics in moduli theory.

Findings

Three new results on syzygies of curves beyond Green's conjecture

Connections established between syzygies and moduli theory

Enhanced understanding of algebraic curve properties

Abstract

We survey three results on syzygies of curves beyond Green's conjecture, with a particular emphasis on drawing connections between the study of syzygies and other topics in moduli theory.