Green's conjecture for binary curves

2014/02/24 by Marco Franciosi, Franciosi, Marco, Elisa Tenni +1
Computer Science · Mathematics · #13D02 #14H10 #14H51 #14N25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:13D02 #msc:14H10 #msc:14H51 #msc:14N25

paper · pdf · doi:10.48550/arxiv.1402.5780

This paper has been withdraw by the authors due to an error in the proof of Thm 3.3 pag 12.We thank G. Farkas, M.Aprodu and Anand Deopurkar for pointing out our mistake

openalex publication_date 2014/02/24 · arxiv created 2014/05/27 · arxiv updated 2014/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Generic Green's conjecture holds for generic binary curves, through a detailed analysis of the family of scrolls containing fixed rational normal curves.

Citations

• green's canonical syzygy conjecture for generic curves of odd genus

Related

• Green's Conjecture for the generic canonical curve
• Scrolls containing binary curves
• Green's Conjecture for curves on rational surfaces with an anticanonical pencil
• green's canonical syzygy conjecture for generic curves of odd genus
• A proof of generic Green's conjecture in odd genus