Classifying ACM sets of points in P¹XP¹ via separators

2012/05/30 by Elena Guardo, Guardo, Elena, Adam Van Tuyl +1
Computer Science · Mathematics · #13D02 #13D40 #13H10 #14A15 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Mathematics #Mathematical Dynamics and Fractals #math.AC #math.AG #msc:13D02 #msc:13D40 #msc:13H10 #msc:14A15

paper · pdf · doi:10.48550/arxiv.1205.6757

4 pages, final version accepted in Archiv Der Mathematik

arxiv created 2012/05/30 · openalex publication_date 2012/05/30 · arxiv updated 2012/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this note is to give a new, short proof of a classification of ACM sets of points in P¹XP¹ in terms of separators.

Related

• ACM sets of points in multiprojective space
• Separators of Arithmetically Cohen-Macaulay fat points in P¹ x P¹
• The Hilbert functions of ACM sets of points in P^n₁ x ... x P^n_k
• Separators of fat points in Pⁿ
• Separators of points in a multiprojective space