Asymptotic depth of invariant chains of edge ideals

Autor:	Hoa, Tran Quang, Hoang, Do Trong, Van Le, Dinh, Nguyen, Hop D., Nguyen, Thai Thanh
Rok vydání:	2024
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics 13A50 13C15 13D02 13F20 16P70 16W22
Druh dokumentu:	Working Paper
Popis:	We completely determine the asymptotic depth, equivalently, the asymptotic projective dimension of a chain of edge ideals that is invariant under the action of the monoid Inc of increasing functions on the positive integers. Our results and their proofs also reveal surprising combinatorial and topological properties of corresponding graphs and their independence complexes. In particular, we are able to determine the asymptotic behavior of all reduced homology groups of these independence complexes. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.06252 Zobrazit plný text záznamu View this record from Arxiv