2003/03/31 by Yukihide Takayama, Takayama, Yukihide
Computer Science · Mathematics · #13C (primary) #13D (secondary) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras #math.AC #msc:13C #msc:13D
paper · pdf · doi:10.48550/arxiv.math/0303384
arxiv created 2003/03/31 · openalex publication_date 2003/03/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let K be a field and S = K[x1,...,xn] be a polynomial ring. A single spot ideal I =< S is a graded ideal whose local cohomology Hi_\mm(S/I), i< dim S/I and \mm = (x1,...,xn), only has non-trivial value N, a finite length module, at i = depth S/I. We consider characterization of single spot ideals in terms of (long) Bourbaki sequences. The codimension 2 case has been fairly well investigated. In this paper, we focus on the codimension 3 case.