Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms
Combinatorics
2011-03-08 v1 Commutative Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1103.1275,
title = {Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms},
author = {Benjamin Braun and Jonathan Browder and Steven Klee},
journal= {arXiv preprint arXiv:1103.1275},
year = {2011}
}
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