On Koszul property of the homogeneous coordinate ring of a curve

1993/12/08 by Alexander Polishchuk, Polishchuk, A.
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.alg-geom/9312004

openalex publication_date 1993/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The following corollary has been added: for general tetragonal curve C of genus g≥ 9 the homogeneous coordinate ring of C defined by the line bundle K(-T), where K is the canonical class, T is the tetragonal series, is Koszul. Also some misprints are corrected.

Citations

• The Self-Duality Equations on a Riemann Surface
• Initial ideals, Veronese subrings, and rates of algebras

Related

• Some homogeneous coordinate rings that are Koszul algebras
• Generic Lines in Projective Space and the Koszul Property
• Koszul configurations of points in projective spaces
• Koszul modules with vanishing resonance in algebraic geometry
• Some Koszul Rings from Geometry