The resolutions of generalized co-letterplace ideals and their powers
Commutative Algebra
2025-01-16 v3
Abstract
We present a natural and explicit multigraded minimal free resolution for each generalized co-letterplace ideal (see Definition 1.1). Our resolution differs significantly from the ones presented in the works of Ene et al. \cite{EHM} and D'Al{`\i} et al. \cite{DFN}. Additionally, we show that each power of a large class of generalized co-letterplace ideals can be represented as the quotient of another generalized co-letterplace ideal by a regular sequence of variable differences. Finally, we provide a new class of simplicial spheres
Keywords
Cite
@article{arxiv.2312.11904,
title = {The resolutions of generalized co-letterplace ideals and their powers},
author = {Dancheng Lu and Zexin Wang},
journal= {arXiv preprint arXiv:2312.11904},
year = {2025}
}
Comments
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