vix.ing · top · new · best · stats · spec

Binomial extensions of Simplicial ideals and reduction number

2009/11/28 by Minh Lam Ha, Ha, Minh Lam, Marcel Moralès +2
Computer Science · Mathematics · #13A99 #13C99 #14M25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #msc:13A99 #msc:13C99 #msc:14M25

paper · pdf · doi:10.48550/arxiv.0911.5423

arxiv created 2009/11/28 · openalex publication_date 2009/11/28 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals \citehm, and in the work of Barile and Morales \citebm2, \citebm3, \citebm4. We compute the reduction number of Binomial extensions of Simplicial ideals. This extends all the previous results in this area.

Citations

Related