2011/08/19 by Paola Bonacini, Bonacini, Paola, Lucia Marino +1
Computer Science · Engineering · Mathematics · #13D02 #13D40 #13H10 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Computational Geometry and Mesh Generation #FOS: Mathematics #math.AG #msc:13D02 #msc:13D40 #msc:13H10
paper · pdf · doi:10.48550/arxiv.1108.4007
arxiv created 2011/08/19 · openalex publication_date 2011/08/19 · arxiv updated 2011/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be a zero-dimensional scheme in P1 × P1. Then X has a minimal free resolution of length 2 if and only if X is ACM. In this paper we determine a class of reduced schemes whose resolutions, similarly to the ACM case, can be obtained by their Hilbert functions and depends only on their distributions of points in a grid of lines. Moreover, a minimal set of generators of the ideal of these schemes is given by curves split into the union of lines.