A proof of generic Green's conjecture in odd genus

TL;DR

This paper presents a new proof of Voisin's theorem confirming Green's conjecture for generic odd genus curves, simplifying previous complex computational approaches.

Contribution

It offers a novel proof that avoids difficult computations, extending the understanding of syzygies in algebraic geometry for odd genus curves.

Findings

Proof confirms Green's conjecture for generic odd genus curves

Avoids complex computational methods used in previous proofs

Enhances theoretical understanding of syzygies in algebraic geometry

Abstract

In this note, we give a new proof of Voisin's theorem on Green's conjecture for generic curves of odd genus resembling the first two sections of "Universal Secant Bundles and Syzygies of Canonical Curves" by the author, and so avoiding the need for difficult computations.