A minimal set of generators for the canonical ideal of a non-degenerate curve

2014/10/07 by Wouter Castryck, Castryck, Wouter, Filip Cools +1
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 14H45 #Secondary 14M25 #math.AG #math.CO #msc:14H45 #msc:14M25

paper · pdf · doi:10.48550/arxiv.1410.1698

14 pages, 6 figures, accepted for publication in Journal of the Australian Mathematical Society

arxiv created 2014/10/07 · openalex publication_date 2014/10/07 · arxiv updated 2014/10/08 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We give an explicit way of writing down a minimal set of generators for the canonical ideal of a non-degenerate curve, or of a more general smooth projective curve in a toric surface, in terms of its defining Laurent polynomial.

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