A proof of generic Green's conjecture in odd genus

2025/02/13 by Michael Kemeny
Mathematics · #math.AG

paper · pdf · doi:10.46298/epiga.2025.15338

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.

Citations

• Universal secant bundles and syzygies of canonical curves
• Koszul modules and Green’s conjecture
• Asymptotic syzygies of algebraic varieties
• green's canonical syzygy conjecture for generic curves of odd genus

Related

• green's canonical syzygy conjecture for generic curves of odd genus
• New evidence for Green's conjecture on syzygies of canonical curves
• Green's Conjecture for the generic canonical curve
• Generic Green's Conjecture and Generic Geometric Syzygy Conjecture in Positive Characteristic
• La conjecture de Green generique [d'apres C. Voisin]