On the initial Betti numbers
Commutative Algebra
2026-01-29 v2
Abstract
Let be a Cohen-Macaulay local ring possessing a canonical module. We compare the initial and terminal Betti numbers of modules in a series of nontrivial cases. We pay special attention to the Betti numbers of the canonical module. Also, we compute in some cases, where is a product of two ideals.
Cite
@article{arxiv.1912.10864,
title = {On the initial Betti numbers},
author = {Mohsen Asgharzadeh},
journal= {arXiv preprint arXiv:1912.10864},
year = {2026}
}