2011/03/07 by Benjamin Braun, Braun, Benjamin, Jonathan Browder +3
Computer Science · Mathematics · #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Topological and Geometric Data Analysis #math.AC #math.CO
paper · pdf · doi:10.48550/arxiv.1103.1275
submitted
arxiv created 2011/03/07 · openalex publication_date 2011/03/07 · arxiv updated 2011/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. As a key ingredient of our work, we introduce the class of cointerval simplicial complexes and investigate their combinatorial and topological properties. As a concrete illustration of these structural results, we introduce and study nonnesting monomial ideals, an interesting family of combinatorially defined ideals.