A proof of generic Green's conjecture in odd genus

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. A superflous reference removed

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Publication Details

Journal
Épijournal de Géométrie Algébrique
Published
2025-12-12
DOI
https://doi.org/10.46298/epiga.2025.15338
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

A proof of generic Green's conjecture in odd genus

Michael Kemeny
Épijournal de Géométrie Algébrique
Algebraic Geometry and Number Theory
article

A proof of generic Green's conjecture in odd genus

Michael Kemeny
article en

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. A superflous reference removed

Épijournal de Géométrie AlgébriqueVol. Volume 9
University of Wisconsin–Madison (US)
National Science Foundation
Openalex Percentile: Top 55%
Algebraic Geometry and Number Theory
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A proof of generic Green's conjecture in odd genus — Michael Kemeny · Épijournal de Géométrie Algébrique (2025) | TGRS Research Map | TGRS