The Stanley-Reisner ideals of polygons as set-theoretic complete intersections

2009/09/10 by Margherita Barile, Naoki Terai, Barile, Margherita +1 · 1 citation
Computer Science · Engineering · Mathematics · #13F55 #14M10 #Advanced Numerical Analysis Techniques #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13F55 #msc:14M10

paper · pdf · doi:10.48550/arxiv.0909.1900

arxiv created 2009/09/10 · openalex publication_date 2009/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Stanley-Reisner ideal of the one-dimensional simplicial complex whose diagram is an n-gon is always a set-theoretic complete intersection in any positive characteristic.

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