Resumen
In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. Motivated by work of Dochtermann and Engström, 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.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 321-344 |
| Número de páginas | 24 |
| Publicación | Israel Journal of Mathematics |
| Volumen | 196 |
| N.º | 1 |
| DOI | |
| Estado | Published - ago 2013 |
Nota bibliográfica
Funding Information:∗ Benjamin Braun was partially supported by NSF award DMS-0758321. ∗∗ Jonathan Browder was partially supported by NSF VIGRE award DMS-0354131. † Steven Klee was partially supported by NSF VIGRE award DMS-0636297. Received February 11, 2011 and in revised form March 5, 2012
Financiación
∗ Benjamin Braun was partially supported by NSF award DMS-0758321. ∗∗ Jonathan Browder was partially supported by NSF VIGRE award DMS-0354131. † Steven Klee was partially supported by NSF VIGRE award DMS-0636297. Received February 11, 2011 and in revised form March 5, 2012
| Financiadores | Número del financiador |
|---|---|
| National Science Foundation (NSF) | DMS-0636297, DMS-0758321, DMS-0354131 |
ASJC Scopus subject areas
- General Mathematics
Huella
Profundice en los temas de investigación de 'Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms'. En conjunto forman una huella única.Citar esto
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