A MINIMAL SET OF GENERATORS FOR THE CANONICAL IDEAL OF A NONDEGENERATE CURVE

DOI10.1017/S1446788714000573zbMath1330.14045arXiv1410.1698OpenAlexW2963049623MaRDI QIDQ5253331

Wouter Castryck, Filip Cools

Publication date: 5 June 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1698

zbMATH Keywords

canonical idealtoric surfacenondegenerate curverolling factors format

Mathematics Subject Classification ID

Varieties of low degree (14N25) Singularities of curves, local rings (14H20)

Related Items

Intrinsicness of the Newton polygon for smooth curves on \({\mathbb {P}}^1\times {\mathbb {P}}^1\), Toric log del Pezzo surfaces with one singularity, Canonical syzygies of smooth curves on toric surfaces, Computing graded Betti tables of toric surfaces, On the twelve-point theorem for \(\ell\)-reflexive polygons

Uses Software

• Magma

Cites Work

• On Petri's analysis of the linear system of quadrics through a canonical curve
• Generators for the ideal of a projectively embedded toric surface
• The Magma algebra system. I: The user language
• Computing Riemann-Roch spaces in algebraic function fields and related topics.
• Lattice Polygons and the Number 2<I>i</I> + 7
• The Geometry of Syzygies