2003/08/12 by Abdul Salam Jarrah, Reinhard Laubenbacher, Jarrah, Abdul Salam +1
Computer Science · Mathematics · Medicine · #13C14 #52B20 #Cholinesterase and Neurodegenerative Diseases #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.CO #msc:13C14 #msc:52B20
paper · pdf · doi:10.48550/arxiv.math/0308113
18 pages, 8 figures
arxiv created 2003/08/12 · openalex publication_date 2003/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this paper is how to characterize the simplicial complexes such that their Stanley-Reisner ideals have Cohen-Macaulay generic deformations. Algorithms are presented to construct such deformations for matroid complexes, shifted complexes, and tree complexes.