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Normal Toric Ideals of Low Codimension

2008/01/24 by Pierre Dueck, Dueck, Pierre, Serkan Hoşten +4 · 1 citation
Computer Science · Mathematics · #13P10 #52C07 #90C11 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Codimension #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Geology #Mathematics #Polynomial and algebraic computation #Pure mathematics #math.AC #math.AG #msc:13P10 #msc:52C07 #msc:90C11

paper · pdf · doi:10.48550/arxiv.0801.3826

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2008/01/24 · arxiv created 2008/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Every normal toric ideal of codimension two is minimally generated by a Grobner basis with squarefree initial monomials. A polynomial time algorithm is presented for checking whether a toric ideal of fixed codimension is normal.

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